Finding the Third Proportional to 52,456 and 114,686

Step by Step Solution

1. Step 1: Write the proportion equation
   52,456 : 114,686 = 114,686 : x
2. Step 2: Convert to fraction form
   52,456/114,686 = 114,686/x
3. Step 3: Cross multiply
   52,456x = 114,686 × 114,686
4. Step 4: Simplify right side
   52,456x = 13,152,878,596
5. Step 5: Solve for x
   x = 13,152,878,596/52,456
6. Step 6: Final answer
   x = 250,741.17