Finding the Third Proportional to 111,648 and 242,688

Step by Step Solution

1. Step 1: Write the proportion equation
   111,648 : 242,688 = 242,688 : x
2. Step 2: Convert to fraction form
   111,648/242,688 = 242,688/x
3. Step 3: Cross multiply
   111,648x = 242,688 × 242,688
4. Step 4: Simplify right side
   111,648x = 58,897,465,344
5. Step 5: Solve for x
   x = 58,897,465,344/111,648
6. Step 6: Final answer
   x = 527,528.17