Finding the Third Proportional to 59,199 and 123,870

Step by Step Solution

1. Step 1: Write the proportion equation
   59,199 : 123,870 = 123,870 : x
2. Step 2: Convert to fraction form
   59,199/123,870 = 123,870/x
3. Step 3: Cross multiply
   59,199x = 123,870 × 123,870
4. Step 4: Simplify right side
   59,199x = 15,343,776,900
5. Step 5: Solve for x
   x = 15,343,776,900/59,199
6. Step 6: Final answer
   x = 259,189.80