Finding the Third Proportional to 81,157.50 and 177,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,157.50 : 177,077.25 = 177,077.25 : x
2. Step 2: Convert to fraction form
   81,157.50/177,077.25 = 177,077.25/x
3. Step 3: Cross multiply
   81,157.50x = 177,077.25 × 177,077.25
4. Step 4: Simplify right side
   81,157.50x = 31,356,352,467.56
5. Step 5: Solve for x
   x = 31,356,352,467.56/81,157.50
6. Step 6: Final answer
   x = 386,364.20