Finding the Third Proportional to 52,010 and 112,196

Step by Step Solution

1. Step 1: Write the proportion equation
   52,010 : 112,196 = 112,196 : x
2. Step 2: Convert to fraction form
   52,010/112,196 = 112,196/x
3. Step 3: Cross multiply
   52,010x = 112,196 × 112,196
4. Step 4: Simplify right side
   52,010x = 12,587,942,416
5. Step 5: Solve for x
   x = 12,587,942,416/52,010
6. Step 6: Final answer
   x = 242,029.27