Finding the Third Proportional to 52,769 and 112,459

Step by Step Solution

1. Step 1: Write the proportion equation
   52,769 : 112,459 = 112,459 : x
2. Step 2: Convert to fraction form
   52,769/112,459 = 112,459/x
3. Step 3: Cross multiply
   52,769x = 112,459 × 112,459
4. Step 4: Simplify right side
   52,769x = 12,647,026,681
5. Step 5: Solve for x
   x = 12,647,026,681/52,769
6. Step 6: Final answer
   x = 239,667.73