Finding the Third Proportional to 59,205 and 123,882

Step by Step Solution

1. Step 1: Write the proportion equation
   59,205 : 123,882 = 123,882 : x
2. Step 2: Convert to fraction form
   59,205/123,882 = 123,882/x
3. Step 3: Cross multiply
   59,205x = 123,882 × 123,882
4. Step 4: Simplify right side
   59,205x = 15,346,749,924
5. Step 5: Solve for x
   x = 15,346,749,924/59,205
6. Step 6: Final answer
   x = 259,213.75