Finding the Third Proportional to 166,046 and 262,516

Step by Step Solution

1. Step 1: Write the proportion equation
   166,046 : 262,516 = 262,516 : x
2. Step 2: Convert to fraction form
   166,046/262,516 = 262,516/x
3. Step 3: Cross multiply
   166,046x = 262,516 × 262,516
4. Step 4: Simplify right side
   166,046x = 68,914,650,256
5. Step 5: Solve for x
   x = 68,914,650,256/166,046
6. Step 6: Final answer
   x = 415,033.49