Finding the Third Proportional to 85,032.50 and 185,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,032.50 : 185,374.50 = 185,374.50 : x
2. Step 2: Convert to fraction form
   85,032.50/185,374.50 = 185,374.50/x
3. Step 3: Cross multiply
   85,032.50x = 185,374.50 × 185,374.50
4. Step 4: Simplify right side
   85,032.50x = 34,363,705,250.25
5. Step 5: Solve for x
   x = 34,363,705,250.25/85,032.50
6. Step 6: Final answer
   x = 404,124.37