Finding the Third Proportional to 59,314 and 130,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,314 : 130,511.50 = 130,511.50 : x
2. Step 2: Convert to fraction form
   59,314/130,511.50 = 130,511.50/x
3. Step 3: Cross multiply
   59,314x = 130,511.50 × 130,511.50
4. Step 4: Simplify right side
   59,314x = 17,033,251,632.25
5. Step 5: Solve for x
   x = 17,033,251,632.25/59,314
6. Step 6: Final answer
   x = 287,170.85