Finding the Third Proportional to 52,128 and 111,637

Step by Step Solution

1. Step 1: Write the proportion equation
   52,128 : 111,637 = 111,637 : x
2. Step 2: Convert to fraction form
   52,128/111,637 = 111,637/x
3. Step 3: Cross multiply
   52,128x = 111,637 × 111,637
4. Step 4: Simplify right side
   52,128x = 12,462,819,769
5. Step 5: Solve for x
   x = 12,462,819,769/52,128
6. Step 6: Final answer
   x = 239,081.10