Finding the Third Proportional to 156,724 and 338,384

Step by Step Solution

1. Step 1: Write the proportion equation
   156,724 : 338,384 = 338,384 : x
2. Step 2: Convert to fraction form
   156,724/338,384 = 338,384/x
3. Step 3: Cross multiply
   156,724x = 338,384 × 338,384
4. Step 4: Simplify right side
   156,724x = 114,503,731,456
5. Step 5: Solve for x
   x = 114,503,731,456/156,724
6. Step 6: Final answer
   x = 730,607.51