Finding the Third Proportional to 42,342 and 90,510

Step by Step Solution

1. Step 1: Write the proportion equation
   42,342 : 90,510 = 90,510 : x
2. Step 2: Convert to fraction form
   42,342/90,510 = 90,510/x
3. Step 3: Cross multiply
   42,342x = 90,510 × 90,510
4. Step 4: Simplify right side
   42,342x = 8,192,060,100
5. Step 5: Solve for x
   x = 8,192,060,100/42,342
6. Step 6: Final answer
   x = 193,473.62