Finding the Third Proportional to 80,599.50 and 123,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,599.50 : 123,475.50 = 123,475.50 : x
2. Step 2: Convert to fraction form
   80,599.50/123,475.50 = 123,475.50/x
3. Step 3: Cross multiply
   80,599.50x = 123,475.50 × 123,475.50
4. Step 4: Simplify right side
   80,599.50x = 15,246,199,100.25
5. Step 5: Solve for x
   x = 15,246,199,100.25/80,599.50
6. Step 6: Final answer
   x = 189,159.97