Finding the Third Proportional to 59,428.50 and 123,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,428.50 : 123,838.50 = 123,838.50 : x
2. Step 2: Convert to fraction form
   59,428.50/123,838.50 = 123,838.50/x
3. Step 3: Cross multiply
   59,428.50x = 123,838.50 × 123,838.50
4. Step 4: Simplify right side
   59,428.50x = 15,335,974,082.25
5. Step 5: Solve for x
   x = 15,335,974,082.25/59,428.50
6. Step 6: Final answer
   x = 258,057.57