Finding the Third Proportional to 52,982 and 112,282

Step by Step Solution

1. Step 1: Write the proportion equation
   52,982 : 112,282 = 112,282 : x
2. Step 2: Convert to fraction form
   52,982/112,282 = 112,282/x
3. Step 3: Cross multiply
   52,982x = 112,282 × 112,282
4. Step 4: Simplify right side
   52,982x = 12,607,247,524
5. Step 5: Solve for x
   x = 12,607,247,524/52,982
6. Step 6: Final answer
   x = 237,953.41