Finding the Third Proportional to 52,952 and 113,582

Step by Step Solution

1. Step 1: Write the proportion equation
   52,952 : 113,582 = 113,582 : x
2. Step 2: Convert to fraction form
   52,952/113,582 = 113,582/x
3. Step 3: Cross multiply
   52,952x = 113,582 × 113,582
4. Step 4: Simplify right side
   52,952x = 12,900,870,724
5. Step 5: Solve for x
   x = 12,900,870,724/52,952
6. Step 6: Final answer
   x = 243,633.30