Finding the Third Proportional to 153,840 and 233,648

Step by Step Solution

1. Step 1: Write the proportion equation
   153,840 : 233,648 = 233,648 : x
2. Step 2: Convert to fraction form
   153,840/233,648 = 233,648/x
3. Step 3: Cross multiply
   153,840x = 233,648 × 233,648
4. Step 4: Simplify right side
   153,840x = 54,591,387,904
5. Step 5: Solve for x
   x = 54,591,387,904/153,840
6. Step 6: Final answer
   x = 354,858.22