Finding the Third Proportional to 42,141 and 90,642

Step by Step Solution

1. Step 1: Write the proportion equation
   42,141 : 90,642 = 90,642 : x
2. Step 2: Convert to fraction form
   42,141/90,642 = 90,642/x
3. Step 3: Cross multiply
   42,141x = 90,642 × 90,642
4. Step 4: Simplify right side
   42,141x = 8,215,972,164
5. Step 5: Solve for x
   x = 8,215,972,164/42,141
6. Step 6: Final answer
   x = 194,963.86