Finding the Third Proportional to 156,746 and 338,426

Step by Step Solution

1. Step 1: Write the proportion equation
   156,746 : 338,426 = 338,426 : x
2. Step 2: Convert to fraction form
   156,746/338,426 = 338,426/x
3. Step 3: Cross multiply
   156,746x = 338,426 × 338,426
4. Step 4: Simplify right side
   156,746x = 114,532,157,476
5. Step 5: Solve for x
   x = 114,532,157,476/156,746
6. Step 6: Final answer
   x = 730,686.32