Finding the Third Proportional to 147,242 and 233,520

Step by Step Solution

1. Step 1: Write the proportion equation
   147,242 : 233,520 = 233,520 : x
2. Step 2: Convert to fraction form
   147,242/233,520 = 233,520/x
3. Step 3: Cross multiply
   147,242x = 233,520 × 233,520
4. Step 4: Simplify right side
   147,242x = 54,531,590,400
5. Step 5: Solve for x
   x = 54,531,590,400/147,242
6. Step 6: Final answer
   x = 370,353.50