Finding the Third Proportional to 42,142.31 and 89,648.17

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142.31 : 89,648.17 = 89,648.17 : x
2. Step 2: Convert to fraction form
   42,142.31/89,648.17 = 89,648.17/x
3. Step 3: Cross multiply
   42,142.31x = 89,648.17 × 89,648.17
4. Step 4: Simplify right side
   42,142.31x = 8,036,795,070.72
5. Step 5: Solve for x
   x = 8,036,795,070.72/42,142.31
6. Step 6: Final answer
   x = 190,706.10