Finding the Third Proportional to 147,165 and 227,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,165 : 227,821.50 = 227,821.50 : x
2. Step 2: Convert to fraction form
   147,165/227,821.50 = 227,821.50/x
3. Step 3: Cross multiply
   147,165x = 227,821.50 × 227,821.50
4. Step 4: Simplify right side
   147,165x = 51,902,635,862.25
5. Step 5: Solve for x
   x = 51,902,635,862.25/147,165
6. Step 6: Final answer
   x = 352,683.29