Finding the Third Proportional to 269,097.75 and 566,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,097.75 : 566,077.50 = 566,077.50 : x
2. Step 2: Convert to fraction form
   269,097.75/566,077.50 = 566,077.50/x
3. Step 3: Cross multiply
   269,097.75x = 566,077.50 × 566,077.50
4. Step 4: Simplify right side
   269,097.75x = 320,443,736,006.25
5. Step 5: Solve for x
   x = 320,443,736,006.25/269,097.75
6. Step 6: Final answer
   x = 1,190,807.94