Finding the Third Proportional to 87,822 and 184,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,822 : 184,821.50 = 184,821.50 : x
2. Step 2: Convert to fraction form
   87,822/184,821.50 = 184,821.50/x
3. Step 3: Cross multiply
   87,822x = 184,821.50 × 184,821.50
4. Step 4: Simplify right side
   87,822x = 34,158,986,862.25
5. Step 5: Solve for x
   x = 34,158,986,862.25/87,822
6. Step 6: Final answer
   x = 388,957.06