Finding the Third Proportional to 133,908 and 177,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,908 : 177,715.50 = 177,715.50 : x
2. Step 2: Convert to fraction form
   133,908/177,715.50 = 177,715.50/x
3. Step 3: Cross multiply
   133,908x = 177,715.50 × 177,715.50
4. Step 4: Simplify right side
   133,908x = 31,582,798,940.25
5. Step 5: Solve for x
   x = 31,582,798,940.25/133,908
6. Step 6: Final answer
   x = 235,854.46