Finding the Third Proportional to 147,404 and 233,783

Step by Step Solution

1. Step 1: Write the proportion equation
   147,404 : 233,783 = 233,783 : x
2. Step 2: Convert to fraction form
   147,404/233,783 = 233,783/x
3. Step 3: Cross multiply
   147,404x = 233,783 × 233,783
4. Step 4: Simplify right side
   147,404x = 54,654,491,089
5. Step 5: Solve for x
   x = 54,654,491,089/147,404
6. Step 6: Final answer
   x = 370,780.24