Finding the Third Proportional to 115,582 and 253,196

Step by Step Solution

1. Step 1: Write the proportion equation
   115,582 : 253,196 = 253,196 : x
2. Step 2: Convert to fraction form
   115,582/253,196 = 253,196/x
3. Step 3: Cross multiply
   115,582x = 253,196 × 253,196
4. Step 4: Simplify right side
   115,582x = 64,108,214,416
5. Step 5: Solve for x
   x = 64,108,214,416/115,582
6. Step 6: Final answer
   x = 554,655.69