Finding the Third Proportional to 109,205 and 233,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,205 : 233,590.50 = 233,590.50 : x
2. Step 2: Convert to fraction form
   109,205/233,590.50 = 233,590.50/x
3. Step 3: Cross multiply
   109,205x = 233,590.50 × 233,590.50
4. Step 4: Simplify right side
   109,205x = 54,564,521,690.25
5. Step 5: Solve for x
   x = 54,564,521,690.25/109,205
6. Step 6: Final answer
   x = 499,652.23