Finding the Third Proportional to 118,400 and 253,648

Step by Step Solution

1. Step 1: Write the proportion equation
   118,400 : 253,648 = 253,648 : x
2. Step 2: Convert to fraction form
   118,400/253,648 = 253,648/x
3. Step 3: Cross multiply
   118,400x = 253,648 × 253,648
4. Step 4: Simplify right side
   118,400x = 64,337,307,904
5. Step 5: Solve for x
   x = 64,337,307,904/118,400
6. Step 6: Final answer
   x = 543,389.42