Finding the Third Proportional to 48,564 and 100,499

Step by Step Solution

1. Step 1: Write the proportion equation
   48,564 : 100,499 = 100,499 : x
2. Step 2: Convert to fraction form
   48,564/100,499 = 100,499/x
3. Step 3: Cross multiply
   48,564x = 100,499 × 100,499
4. Step 4: Simplify right side
   48,564x = 10,100,049,001
5. Step 5: Solve for x
   x = 10,100,049,001/48,564
6. Step 6: Final answer
   x = 207,973.99