Finding the Third Proportional to 85,052.25 and 186,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,052.25 : 186,466.50 = 186,466.50 : x
2. Step 2: Convert to fraction form
   85,052.25/186,466.50 = 186,466.50/x
3. Step 3: Cross multiply
   85,052.25x = 186,466.50 × 186,466.50
4. Step 4: Simplify right side
   85,052.25x = 34,769,755,622.25
5. Step 5: Solve for x
   x = 34,769,755,622.25/85,052.25
6. Step 6: Final answer
   x = 408,804.65