Finding the Third Proportional to 177,019.50 and 266,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,019.50 : 266,998.50 = 266,998.50 : x
2. Step 2: Convert to fraction form
   177,019.50/266,998.50 = 266,998.50/x
3. Step 3: Cross multiply
   177,019.50x = 266,998.50 × 266,998.50
4. Step 4: Simplify right side
   177,019.50x = 71,288,199,002.25
5. Step 5: Solve for x
   x = 71,288,199,002.25/177,019.50
6. Step 6: Final answer
   x = 402,713.82