Finding the Third Proportional to 59,400 and 122,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,400 : 122,566.50 = 122,566.50 : x
2. Step 2: Convert to fraction form
   59,400/122,566.50 = 122,566.50/x
3. Step 3: Cross multiply
   59,400x = 122,566.50 × 122,566.50
4. Step 4: Simplify right side
   59,400x = 15,022,546,922.25
5. Step 5: Solve for x
   x = 15,022,546,922.25/59,400
6. Step 6: Final answer
   x = 252,904.83