Finding the Third Proportional to 109,588.50 and 234,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,588.50 : 234,949.50 = 234,949.50 : x
2. Step 2: Convert to fraction form
   109,588.50/234,949.50 = 234,949.50/x
3. Step 3: Cross multiply
   109,588.50x = 234,949.50 × 234,949.50
4. Step 4: Simplify right side
   109,588.50x = 55,201,267,550.25
5. Step 5: Solve for x
   x = 55,201,267,550.25/109,588.50
6. Step 6: Final answer
   x = 503,714.05