Finding the Third Proportional to 52,821 and 109,138

Step by Step Solution

1. Step 1: Write the proportion equation
   52,821 : 109,138 = 109,138 : x
2. Step 2: Convert to fraction form
   52,821/109,138 = 109,138/x
3. Step 3: Cross multiply
   52,821x = 109,138 × 109,138
4. Step 4: Simplify right side
   52,821x = 11,911,103,044
5. Step 5: Solve for x
   x = 11,911,103,044/52,821
6. Step 6: Final answer
   x = 225,499.39