Finding the Third Proportional to 166,293,460,034 and 341,402,620,834

Step by Step Solution

1. Step 1: Write the proportion equation
   166,293,460,034 : 341,402,620,834 = 341,402,620,834 : x
2. Step 2: Convert to fraction form
   166,293,460,034/341,402,620,834 = 341,402,620,834/x
3. Step 3: Cross multiply
   166,293,460,034x = 341,402,620,834 × 341,402,620,834
4. Step 4: Simplify right side
   166,293,460,034x = 116,555,749,512,323,964,862,464
5. Step 5: Solve for x
   x = 116,555,749,512,323,964,862,464/166,293,460,034
6. Step 6: Final answer
   x = 700,903,989,179.69