Finding the Third Proportional to 42,192 and 89,836

Step by Step Solution

1. Step 1: Write the proportion equation
   42,192 : 89,836 = 89,836 : x
2. Step 2: Convert to fraction form
   42,192/89,836 = 89,836/x
3. Step 3: Cross multiply
   42,192x = 89,836 × 89,836
4. Step 4: Simplify right side
   42,192x = 8,070,506,896
5. Step 5: Solve for x
   x = 8,070,506,896/42,192
6. Step 6: Final answer
   x = 191,280.50