Finding the Third Proportional to 52,166 and 112,486

Step by Step Solution

1. Step 1: Write the proportion equation
   52,166 : 112,486 = 112,486 : x
2. Step 2: Convert to fraction form
   52,166/112,486 = 112,486/x
3. Step 3: Cross multiply
   52,166x = 112,486 × 112,486
4. Step 4: Simplify right side
   52,166x = 12,653,100,196
5. Step 5: Solve for x
   x = 12,653,100,196/52,166
6. Step 6: Final answer
   x = 242,554.54