Finding the Third Proportional to 118,405 and 253,658

Step by Step Solution

1. Step 1: Write the proportion equation
   118,405 : 253,658 = 253,658 : x
2. Step 2: Convert to fraction form
   118,405/253,658 = 253,658/x
3. Step 3: Cross multiply
   118,405x = 253,658 × 253,658
4. Step 4: Simplify right side
   118,405x = 64,342,380,964
5. Step 5: Solve for x
   x = 64,342,380,964/118,405
6. Step 6: Final answer
   x = 543,409.32