Finding the Third Proportional to 52,685 and 114,118

Step by Step Solution

1. Step 1: Write the proportion equation
   52,685 : 114,118 = 114,118 : x
2. Step 2: Convert to fraction form
   52,685/114,118 = 114,118/x
3. Step 3: Cross multiply
   52,685x = 114,118 × 114,118
4. Step 4: Simplify right side
   52,685x = 13,022,917,924
5. Step 5: Solve for x
   x = 13,022,917,924/52,685
6. Step 6: Final answer
   x = 247,184.55