Finding the Third Proportional to 48,838.50 and 100,269

Step by Step Solution

1. Step 1: Write the proportion equation
   48,838.50 : 100,269 = 100,269 : x
2. Step 2: Convert to fraction form
   48,838.50/100,269 = 100,269/x
3. Step 3: Cross multiply
   48,838.50x = 100,269 × 100,269
4. Step 4: Simplify right side
   48,838.50x = 10,053,872,361
5. Step 5: Solve for x
   x = 10,053,872,361/48,838.50
6. Step 6: Final answer
   x = 205,859.56