Finding the Third Proportional to 115,826 and 253,820

Step by Step Solution

1. Step 1: Write the proportion equation
   115,826 : 253,820 = 253,820 : x
2. Step 2: Convert to fraction form
   115,826/253,820 = 253,820/x
3. Step 3: Cross multiply
   115,826x = 253,820 × 253,820
4. Step 4: Simplify right side
   115,826x = 64,424,592,400
5. Step 5: Solve for x
   x = 64,424,592,400/115,826
6. Step 6: Final answer
   x = 556,218.75