Finding the Third Proportional to 106,089.75 and 141,635.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,089.75 : 141,635.25 = 141,635.25 : x
2. Step 2: Convert to fraction form
   106,089.75/141,635.25 = 141,635.25/x
3. Step 3: Cross multiply
   106,089.75x = 141,635.25 × 141,635.25
4. Step 4: Simplify right side
   106,089.75x = 20,060,544,042.56
5. Step 5: Solve for x
   x = 20,060,544,042.56/106,089.75
6. Step 6: Final answer
   x = 189,090.31