Finding the Third Proportional to 52,810 and 109,106

Step by Step Solution

1. Step 1: Write the proportion equation
   52,810 : 109,106 = 109,106 : x
2. Step 2: Convert to fraction form
   52,810/109,106 = 109,106/x
3. Step 3: Cross multiply
   52,810x = 109,106 × 109,106
4. Step 4: Simplify right side
   52,810x = 11,904,119,236
5. Step 5: Solve for x
   x = 11,904,119,236/52,810
6. Step 6: Final answer
   x = 225,414.11