Finding the Third Proportional to 101,592 and 233,648

Step by Step Solution

1. Step 1: Write the proportion equation
   101,592 : 233,648 = 233,648 : x
2. Step 2: Convert to fraction form
   101,592/233,648 = 233,648/x
3. Step 3: Cross multiply
   101,592x = 233,648 × 233,648
4. Step 4: Simplify right side
   101,592x = 54,591,387,904
5. Step 5: Solve for x
   x = 54,591,387,904/101,592
6. Step 6: Final answer
   x = 537,359.12