Finding the Third Proportional to 52,024 and 112,352

Step by Step Solution

1. Step 1: Write the proportion equation
   52,024 : 112,352 = 112,352 : x
2. Step 2: Convert to fraction form
   52,024/112,352 = 112,352/x
3. Step 3: Cross multiply
   52,024x = 112,352 × 112,352
4. Step 4: Simplify right side
   52,024x = 12,622,971,904
5. Step 5: Solve for x
   x = 12,622,971,904/52,024
6. Step 6: Final answer
   x = 242,637.47