Finding the Third Proportional to 63,544.50 and 138,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,544.50 : 138,082.50 = 138,082.50 : x
2. Step 2: Convert to fraction form
   63,544.50/138,082.50 = 138,082.50/x
3. Step 3: Cross multiply
   63,544.50x = 138,082.50 × 138,082.50
4. Step 4: Simplify right side
   63,544.50x = 19,066,776,806.25
5. Step 5: Solve for x
   x = 19,066,776,806.25/63,544.50
6. Step 6: Final answer
   x = 300,053.93