Finding the Third Proportional to 127,875 and 269,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,875 : 269,008.50 = 269,008.50 : x
2. Step 2: Convert to fraction form
   127,875/269,008.50 = 269,008.50/x
3. Step 3: Cross multiply
   127,875x = 269,008.50 × 269,008.50
4. Step 4: Simplify right side
   127,875x = 72,365,573,072.25
5. Step 5: Solve for x
   x = 72,365,573,072.25/127,875
6. Step 6: Final answer
   x = 565,908.68