Finding the Third Proportional to 133,857 and 207,264.75

Step by Step Solution

1. Step 1: Write the proportion equation
   133,857 : 207,264.75 = 207,264.75 : x
2. Step 2: Convert to fraction form
   133,857/207,264.75 = 207,264.75/x
3. Step 3: Cross multiply
   133,857x = 207,264.75 × 207,264.75
4. Step 4: Simplify right side
   133,857x = 42,958,676,592.56
5. Step 5: Solve for x
   x = 42,958,676,592.56/133,857
6. Step 6: Final answer
   x = 320,929.62