Finding the Third Proportional to 177,510 and 266,350.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,510 : 266,350.50 = 266,350.50 : x
2. Step 2: Convert to fraction form
   177,510/266,350.50 = 266,350.50/x
3. Step 3: Cross multiply
   177,510x = 266,350.50 × 266,350.50
4. Step 4: Simplify right side
   177,510x = 70,942,588,850.25
5. Step 5: Solve for x
   x = 70,942,588,850.25/177,510
6. Step 6: Final answer
   x = 399,654.04