Finding the Third Proportional to 156,801 and 338,754

Step by Step Solution

1. Step 1: Write the proportion equation
   156,801 : 338,754 = 338,754 : x
2. Step 2: Convert to fraction form
   156,801/338,754 = 338,754/x
3. Step 3: Cross multiply
   156,801x = 338,754 × 338,754
4. Step 4: Simplify right side
   156,801x = 114,754,272,516
5. Step 5: Solve for x
   x = 114,754,272,516/156,801
6. Step 6: Final answer
   x = 731,846.56