Finding the Third Proportional to 48,662 and 83,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,662 : 83,082.50 = 83,082.50 : x
2. Step 2: Convert to fraction form
   48,662/83,082.50 = 83,082.50/x
3. Step 3: Cross multiply
   48,662x = 83,082.50 × 83,082.50
4. Step 4: Simplify right side
   48,662x = 6,902,701,806.25
5. Step 5: Solve for x
   x = 6,902,701,806.25/48,662
6. Step 6: Final answer
   x = 141,849.94