Finding the Third Proportional to 52,414 and 109,686

Step by Step Solution

1. Step 1: Write the proportion equation
   52,414 : 109,686 = 109,686 : x
2. Step 2: Convert to fraction form
   52,414/109,686 = 109,686/x
3. Step 3: Cross multiply
   52,414x = 109,686 × 109,686
4. Step 4: Simplify right side
   52,414x = 12,031,018,596
5. Step 5: Solve for x
   x = 12,031,018,596/52,414
6. Step 6: Final answer
   x = 229,538.26