Finding the Third Proportional to 142,827.75 and 209,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,827.75 : 209,821.50 = 209,821.50 : x
2. Step 2: Convert to fraction form
   142,827.75/209,821.50 = 209,821.50/x
3. Step 3: Cross multiply
   142,827.75x = 209,821.50 × 209,821.50
4. Step 4: Simplify right side
   142,827.75x = 44,025,061,862.25
5. Step 5: Solve for x
   x = 44,025,061,862.25/142,827.75
6. Step 6: Final answer
   x = 308,238.85