Finding the Third Proportional to 45,564 and 100,098

Step by Step Solution

1. Step 1: Write the proportion equation
   45,564 : 100,098 = 100,098 : x
2. Step 2: Convert to fraction form
   45,564/100,098 = 100,098/x
3. Step 3: Cross multiply
   45,564x = 100,098 × 100,098
4. Step 4: Simplify right side
   45,564x = 10,019,609,604
5. Step 5: Solve for x
   x = 10,019,609,604/45,564
6. Step 6: Final answer
   x = 219,901.89