Finding the Third Proportional to 109,276.50 and 237,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,276.50 : 237,780.50 = 237,780.50 : x
2. Step 2: Convert to fraction form
   109,276.50/237,780.50 = 237,780.50/x
3. Step 3: Cross multiply
   109,276.50x = 237,780.50 × 237,780.50
4. Step 4: Simplify right side
   109,276.50x = 56,539,566,180.25
5. Step 5: Solve for x
   x = 56,539,566,180.25/109,276.50
6. Step 6: Final answer
   x = 517,399.13