Finding the Third Proportional to 52,200 and 113,776

Step by Step Solution

1. Step 1: Write the proportion equation
   52,200 : 113,776 = 113,776 : x
2. Step 2: Convert to fraction form
   52,200/113,776 = 113,776/x
3. Step 3: Cross multiply
   52,200x = 113,776 × 113,776
4. Step 4: Simplify right side
   52,200x = 12,944,978,176
5. Step 5: Solve for x
   x = 12,944,978,176/52,200
6. Step 6: Final answer
   x = 247,988.09