Finding the Third Proportional to 189,577 and 284,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,577 : 284,851.50 = 284,851.50 : x
2. Step 2: Convert to fraction form
   189,577/284,851.50 = 284,851.50/x
3. Step 3: Cross multiply
   189,577x = 284,851.50 × 284,851.50
4. Step 4: Simplify right side
   189,577x = 81,140,377,052.25
5. Step 5: Solve for x
   x = 81,140,377,052.25/189,577
6. Step 6: Final answer
   x = 428,007.50