Finding the Third Proportional to 48,414 and 101,262

Step by Step Solution

1. Step 1: Write the proportion equation
   48,414 : 101,262 = 101,262 : x
2. Step 2: Convert to fraction form
   48,414/101,262 = 101,262/x
3. Step 3: Cross multiply
   48,414x = 101,262 × 101,262
4. Step 4: Simplify right side
   48,414x = 10,253,992,644
5. Step 5: Solve for x
   x = 10,253,992,644/48,414
6. Step 6: Final answer
   x = 211,798.09