Finding the Third Proportional to 158,704.50 and 215,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,704.50 : 215,296.50 = 215,296.50 : x
2. Step 2: Convert to fraction form
   158,704.50/215,296.50 = 215,296.50/x
3. Step 3: Cross multiply
   158,704.50x = 215,296.50 × 215,296.50
4. Step 4: Simplify right side
   158,704.50x = 46,352,582,912.25
5. Step 5: Solve for x
   x = 46,352,582,912.25/158,704.50
6. Step 6: Final answer
   x = 292,068.49