Finding the Third Proportional to 116,862 and 253,596

Step by Step Solution

1. Step 1: Write the proportion equation
   116,862 : 253,596 = 253,596 : x
2. Step 2: Convert to fraction form
   116,862/253,596 = 253,596/x
3. Step 3: Cross multiply
   116,862x = 253,596 × 253,596
4. Step 4: Simplify right side
   116,862x = 64,310,931,216
5. Step 5: Solve for x
   x = 64,310,931,216/116,862
6. Step 6: Final answer
   x = 550,315.17