Finding the Third Proportional to 109,275.50 and 237,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,275.50 : 237,778.50 = 237,778.50 : x
2. Step 2: Convert to fraction form
   109,275.50/237,778.50 = 237,778.50/x
3. Step 3: Cross multiply
   109,275.50x = 237,778.50 × 237,778.50
4. Step 4: Simplify right side
   109,275.50x = 56,538,615,062.25
5. Step 5: Solve for x
   x = 56,538,615,062.25/109,275.50
6. Step 6: Final answer
   x = 517,395.16