Finding the Third Proportional to 42,082 and 90,572

Step by Step Solution

1. Step 1: Write the proportion equation
   42,082 : 90,572 = 90,572 : x
2. Step 2: Convert to fraction form
   42,082/90,572 = 90,572/x
3. Step 3: Cross multiply
   42,082x = 90,572 × 90,572
4. Step 4: Simplify right side
   42,082x = 8,203,287,184
5. Step 5: Solve for x
   x = 8,203,287,184/42,082
6. Step 6: Final answer
   x = 194,935.77