Finding the Third Proportional to 127,761 and 268,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,761 : 268,762.50 = 268,762.50 : x
2. Step 2: Convert to fraction form
   127,761/268,762.50 = 268,762.50/x
3. Step 3: Cross multiply
   127,761x = 268,762.50 × 268,762.50
4. Step 4: Simplify right side
   127,761x = 72,233,281,406.25
5. Step 5: Solve for x
   x = 72,233,281,406.25/127,761
6. Step 6: Final answer
   x = 565,378.18