Finding the Third Proportional to 91,689.75 and 140,258.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,689.75 : 140,258.25 = 140,258.25 : x
2. Step 2: Convert to fraction form
   91,689.75/140,258.25 = 140,258.25/x
3. Step 3: Cross multiply
   91,689.75x = 140,258.25 × 140,258.25
4. Step 4: Simplify right side
   91,689.75x = 19,672,376,693.06
5. Step 5: Solve for x
   x = 19,672,376,693.06/91,689.75
6. Step 6: Final answer
   x = 214,553.72