Finding the Third Proportional to 52,020 and 112,896

Step by Step Solution

1. Step 1: Write the proportion equation
   52,020 : 112,896 = 112,896 : x
2. Step 2: Convert to fraction form
   52,020/112,896 = 112,896/x
3. Step 3: Cross multiply
   52,020x = 112,896 × 112,896
4. Step 4: Simplify right side
   52,020x = 12,745,506,816
5. Step 5: Solve for x
   x = 12,745,506,816/52,020
6. Step 6: Final answer
   x = 245,011.67