Finding the Third Proportional to 123,609.75 and 262,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,609.75 : 262,393.50 = 262,393.50 : x
2. Step 2: Convert to fraction form
   123,609.75/262,393.50 = 262,393.50/x
3. Step 3: Cross multiply
   123,609.75x = 262,393.50 × 262,393.50
4. Step 4: Simplify right side
   123,609.75x = 68,850,348,842.25
5. Step 5: Solve for x
   x = 68,850,348,842.25/123,609.75
6. Step 6: Final answer
   x = 556,997.72