Finding the Third Proportional to 176,400 and 266,220.75

Step by Step Solution

1. Step 1: Write the proportion equation
   176,400 : 266,220.75 = 266,220.75 : x
2. Step 2: Convert to fraction form
   176,400/266,220.75 = 266,220.75/x
3. Step 3: Cross multiply
   176,400x = 266,220.75 × 266,220.75
4. Step 4: Simplify right side
   176,400x = 70,873,487,730.56
5. Step 5: Solve for x
   x = 70,873,487,730.56/176,400
6. Step 6: Final answer
   x = 401,777.14