Finding the Third Proportional to 80,112.50 and 185,455.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,112.50 : 185,455.25 = 185,455.25 : x
2. Step 2: Convert to fraction form
   80,112.50/185,455.25 = 185,455.25/x
3. Step 3: Cross multiply
   80,112.50x = 185,455.25 × 185,455.25
4. Step 4: Simplify right side
   80,112.50x = 34,393,649,752.56
5. Step 5: Solve for x
   x = 34,393,649,752.56/80,112.50
6. Step 6: Final answer
   x = 429,316.90