Finding the Third Proportional to 105,128 and 233,584

Step by Step Solution

1. Step 1: Write the proportion equation
   105,128 : 233,584 = 233,584 : x
2. Step 2: Convert to fraction form
   105,128/233,584 = 233,584/x
3. Step 3: Cross multiply
   105,128x = 233,584 × 233,584
4. Step 4: Simplify right side
   105,128x = 54,561,485,056
5. Step 5: Solve for x
   x = 54,561,485,056/105,128
6. Step 6: Final answer
   x = 519,000.50