Finding the Third Proportional to 52,014 and 112,323

Step by Step Solution

1. Step 1: Write the proportion equation
   52,014 : 112,323 = 112,323 : x
2. Step 2: Convert to fraction form
   52,014/112,323 = 112,323/x
3. Step 3: Cross multiply
   52,014x = 112,323 × 112,323
4. Step 4: Simplify right side
   52,014x = 12,616,456,329
5. Step 5: Solve for x
   x = 12,616,456,329/52,014
6. Step 6: Final answer
   x = 242,558.86