Finding the Third Proportional to 49,782 and 77,082

Step by Step Solution

1. Step 1: Write the proportion equation
   49,782 : 77,082 = 77,082 : x
2. Step 2: Convert to fraction form
   49,782/77,082 = 77,082/x
3. Step 3: Cross multiply
   49,782x = 77,082 × 77,082
4. Step 4: Simplify right side
   49,782x = 5,941,634,724
5. Step 5: Solve for x
   x = 5,941,634,724/49,782
6. Step 6: Final answer
   x = 119,353.07