Finding the Third Proportional to 85,621.50 and 185,833.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,621.50 : 185,833.25 = 185,833.25 : x
2. Step 2: Convert to fraction form
   85,621.50/185,833.25 = 185,833.25/x
3. Step 3: Cross multiply
   85,621.50x = 185,833.25 × 185,833.25
4. Step 4: Simplify right side
   85,621.50x = 34,533,996,805.56
5. Step 5: Solve for x
   x = 34,533,996,805.56/85,621.50
6. Step 6: Final answer
   x = 403,333.24