Finding the Third Proportional to 59,201.50 and 123,875

Step by Step Solution

1. Step 1: Write the proportion equation
   59,201.50 : 123,875 = 123,875 : x
2. Step 2: Convert to fraction form
   59,201.50/123,875 = 123,875/x
3. Step 3: Cross multiply
   59,201.50x = 123,875 × 123,875
4. Step 4: Simplify right side
   59,201.50x = 15,345,015,625
5. Step 5: Solve for x
   x = 15,345,015,625/59,201.50
6. Step 6: Final answer
   x = 259,199.78