Finding the Third Proportional to 39,746.25 and 85,250.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,746.25 : 85,250.50 = 85,250.50 : x
2. Step 2: Convert to fraction form
   39,746.25/85,250.50 = 85,250.50/x
3. Step 3: Cross multiply
   39,746.25x = 85,250.50 × 85,250.50
4. Step 4: Simplify right side
   39,746.25x = 7,267,647,750.25
5. Step 5: Solve for x
   x = 7,267,647,750.25/39,746.25
6. Step 6: Final answer
   x = 182,851.16