Finding the Third Proportional to 45,624 and 100,128

Step by Step Solution

1. Step 1: Write the proportion equation
   45,624 : 100,128 = 100,128 : x
2. Step 2: Convert to fraction form
   45,624/100,128 = 100,128/x
3. Step 3: Cross multiply
   45,624x = 100,128 × 100,128
4. Step 4: Simplify right side
   45,624x = 10,025,616,384
5. Step 5: Solve for x
   x = 10,025,616,384/45,624
6. Step 6: Final answer
   x = 219,744.35