Finding the Third Proportional to 59,478 and 123,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,478 : 123,889.50 = 123,889.50 : x
2. Step 2: Convert to fraction form
   59,478/123,889.50 = 123,889.50/x
3. Step 3: Cross multiply
   59,478x = 123,889.50 × 123,889.50
4. Step 4: Simplify right side
   59,478x = 15,348,608,210.25
5. Step 5: Solve for x
   x = 15,348,608,210.25/59,478
6. Step 6: Final answer
   x = 258,055.22