Finding the Third Proportional to 189,583.50 and 284,862

Step by Step Solution

1. Step 1: Write the proportion equation
   189,583.50 : 284,862 = 284,862 : x
2. Step 2: Convert to fraction form
   189,583.50/284,862 = 284,862/x
3. Step 3: Cross multiply
   189,583.50x = 284,862 × 284,862
4. Step 4: Simplify right side
   189,583.50x = 81,146,359,044
5. Step 5: Solve for x
   x = 81,146,359,044/189,583.50
6. Step 6: Final answer
   x = 428,024.37