Finding the Third Proportional to 259,872.50 and 388,746.88

Step by Step Solution

1. Step 1: Write the proportion equation
   259,872.50 : 388,746.88 = 388,746.88 : x
2. Step 2: Convert to fraction form
   259,872.50/388,746.88 = 388,746.88/x
3. Step 3: Cross multiply
   259,872.50x = 388,746.88 × 388,746.88
4. Step 4: Simplify right side
   259,872.50x = 151,124,132,822.27
5. Step 5: Solve for x
   x = 151,124,132,822.27/259,872.50
6. Step 6: Final answer
   x = 581,531.84