Finding the Third Proportional to 147,384 and 233,730

Step by Step Solution

1. Step 1: Write the proportion equation
   147,384 : 233,730 = 233,730 : x
2. Step 2: Convert to fraction form
   147,384/233,730 = 233,730/x
3. Step 3: Cross multiply
   147,384x = 233,730 × 233,730
4. Step 4: Simplify right side
   147,384x = 54,629,712,900
5. Step 5: Solve for x
   x = 54,629,712,900/147,384
6. Step 6: Final answer
   x = 370,662.44