Finding the Third Proportional to 177,471 and 266,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,471 : 266,287.50 = 266,287.50 : x
2. Step 2: Convert to fraction form
   177,471/266,287.50 = 266,287.50/x
3. Step 3: Cross multiply
   177,471x = 266,287.50 × 266,287.50
4. Step 4: Simplify right side
   177,471x = 70,909,032,656.25
5. Step 5: Solve for x
   x = 70,909,032,656.25/177,471
6. Step 6: Final answer
   x = 399,552.79