Finding the Third Proportional to 85,137.75 and 185,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,137.75 : 185,017.50 = 185,017.50 : x
2. Step 2: Convert to fraction form
   85,137.75/185,017.50 = 185,017.50/x
3. Step 3: Cross multiply
   85,137.75x = 185,017.50 × 185,017.50
4. Step 4: Simplify right side
   85,137.75x = 34,231,475,306.25
5. Step 5: Solve for x
   x = 34,231,475,306.25/85,137.75
6. Step 6: Final answer
   x = 402,071.65