Finding the Third Proportional to 52,820 and 112,768

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820 : 112,768 = 112,768 : x
2. Step 2: Convert to fraction form
   52,820/112,768 = 112,768/x
3. Step 3: Cross multiply
   52,820x = 112,768 × 112,768
4. Step 4: Simplify right side
   52,820x = 12,716,621,824
5. Step 5: Solve for x
   x = 12,716,621,824/52,820
6. Step 6: Final answer
   x = 240,753.92