Finding the Third Proportional to 96,085.50 and 140,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,085.50 : 140,425.50 = 140,425.50 : x
2. Step 2: Convert to fraction form
   96,085.50/140,425.50 = 140,425.50/x
3. Step 3: Cross multiply
   96,085.50x = 140,425.50 × 140,425.50
4. Step 4: Simplify right side
   96,085.50x = 19,719,321,050.25
5. Step 5: Solve for x
   x = 19,719,321,050.25/96,085.50
6. Step 6: Final answer
   x = 205,226.81