Finding the Third Proportional to 123,071.25 and 268,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,071.25 : 268,921.50 = 268,921.50 : x
2. Step 2: Convert to fraction form
   123,071.25/268,921.50 = 268,921.50/x
3. Step 3: Cross multiply
   123,071.25x = 268,921.50 × 268,921.50
4. Step 4: Simplify right side
   123,071.25x = 72,318,773,162.25
5. Step 5: Solve for x
   x = 72,318,773,162.25/123,071.25
6. Step 6: Final answer
   x = 587,617.12