Finding the Third Proportional to 59,217 and 128,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,217 : 128,563.50 = 128,563.50 : x
2. Step 2: Convert to fraction form
   59,217/128,563.50 = 128,563.50/x
3. Step 3: Cross multiply
   59,217x = 128,563.50 × 128,563.50
4. Step 4: Simplify right side
   59,217x = 16,528,573,532.25
5. Step 5: Solve for x
   x = 16,528,573,532.25/59,217
6. Step 6: Final answer
   x = 279,118.72