Finding the Third Proportional to 205,587 and 235,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,587 : 235,111.50 = 235,111.50 : x
2. Step 2: Convert to fraction form
   205,587/235,111.50 = 235,111.50/x
3. Step 3: Cross multiply
   205,587x = 235,111.50 × 235,111.50
4. Step 4: Simplify right side
   205,587x = 55,277,417,432.25
5. Step 5: Solve for x
   x = 55,277,417,432.25/205,587
6. Step 6: Final answer
   x = 268,876.04