Finding the Third Proportional to 49,850 and 83,082

Step by Step Solution

1. Step 1: Write the proportion equation
   49,850 : 83,082 = 83,082 : x
2. Step 2: Convert to fraction form
   49,850/83,082 = 83,082/x
3. Step 3: Cross multiply
   49,850x = 83,082 × 83,082
4. Step 4: Simplify right side
   49,850x = 6,902,618,724
5. Step 5: Solve for x
   x = 6,902,618,724/49,850
6. Step 6: Final answer
   x = 138,467.78