Finding the Third Proportional to 166,293,460,026 and 341,402,620,817.24

Step by Step Solution

1. Step 1: Write the proportion equation
   166,293,460,026 : 341,402,620,817.24 = 341,402,620,817.24 : x
2. Step 2: Convert to fraction form
   166,293,460,026/341,402,620,817.24 = 341,402,620,817.24/x
3. Step 3: Cross multiply
   166,293,460,026x = 341,402,620,817.24 × 341,402,620,817.24
4. Step 4: Simplify right side
   166,293,460,026x = 116,555,749,500,880,141,942,784
5. Step 5: Solve for x
   x = 116,555,749,500,880,141,942,784/166,293,460,026
6. Step 6: Final answer
   x = 700,903,989,144.59