Finding the Third Proportional to 52,782 and 112,041

Step by Step Solution

1. Step 1: Write the proportion equation
   52,782 : 112,041 = 112,041 : x
2. Step 2: Convert to fraction form
   52,782/112,041 = 112,041/x
3. Step 3: Cross multiply
   52,782x = 112,041 × 112,041
4. Step 4: Simplify right side
   52,782x = 12,553,185,681
5. Step 5: Solve for x
   x = 12,553,185,681/52,782
6. Step 6: Final answer
   x = 237,830.81