Finding the Third Proportional to 156,156 and 338,536

Step by Step Solution

1. Step 1: Write the proportion equation
   156,156 : 338,536 = 338,536 : x
2. Step 2: Convert to fraction form
   156,156/338,536 = 338,536/x
3. Step 3: Cross multiply
   156,156x = 338,536 × 338,536
4. Step 4: Simplify right side
   156,156x = 114,606,623,296
5. Step 5: Solve for x
   x = 114,606,623,296/156,156
6. Step 6: Final answer
   x = 733,923.92