Finding the Third Proportional to 109,149.75 and 238,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,149.75 : 238,590.50 = 238,590.50 : x
2. Step 2: Convert to fraction form
   109,149.75/238,590.50 = 238,590.50/x
3. Step 3: Cross multiply
   109,149.75x = 238,590.50 × 238,590.50
4. Step 4: Simplify right side
   109,149.75x = 56,925,426,690.25
5. Step 5: Solve for x
   x = 56,925,426,690.25/109,149.75
6. Step 6: Final answer
   x = 521,535.11