Finding the Third Proportional to 49,372 and 100,580

Step by Step Solution

1. Step 1: Write the proportion equation
   49,372 : 100,580 = 100,580 : x
2. Step 2: Convert to fraction form
   49,372/100,580 = 100,580/x
3. Step 3: Cross multiply
   49,372x = 100,580 × 100,580
4. Step 4: Simplify right side
   49,372x = 10,116,336,400
5. Step 5: Solve for x
   x = 10,116,336,400/49,372
6. Step 6: Final answer
   x = 204,900.28