Finding the Third Proportional to 59,199 and 83,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,199 : 83,275.50 = 83,275.50 : x
2. Step 2: Convert to fraction form
   59,199/83,275.50 = 83,275.50/x
3. Step 3: Cross multiply
   59,199x = 83,275.50 × 83,275.50
4. Step 4: Simplify right side
   59,199x = 6,934,808,900.25
5. Step 5: Solve for x
   x = 6,934,808,900.25/59,199
6. Step 6: Final answer
   x = 117,144.02