Finding the Third Proportional to 52,638 and 100,424

Step by Step Solution

1. Step 1: Write the proportion equation
   52,638 : 100,424 = 100,424 : x
2. Step 2: Convert to fraction form
   52,638/100,424 = 100,424/x
3. Step 3: Cross multiply
   52,638x = 100,424 × 100,424
4. Step 4: Simplify right side
   52,638x = 10,084,979,776
5. Step 5: Solve for x
   x = 10,084,979,776/52,638
6. Step 6: Final answer
   x = 191,591.24