Finding the Third Proportional to 147,064 and 233,698

Step by Step Solution

1. Step 1: Write the proportion equation
   147,064 : 233,698 = 233,698 : x
2. Step 2: Convert to fraction form
   147,064/233,698 = 233,698/x
3. Step 3: Cross multiply
   147,064x = 233,698 × 233,698
4. Step 4: Simplify right side
   147,064x = 54,614,755,204
5. Step 5: Solve for x
   x = 54,614,755,204/147,064
6. Step 6: Final answer
   x = 371,367.26