Finding the Third Proportional to 53,584 and 112,928

Step by Step Solution

1. Step 1: Write the proportion equation
   53,584 : 112,928 = 112,928 : x
2. Step 2: Convert to fraction form
   53,584/112,928 = 112,928/x
3. Step 3: Cross multiply
   53,584x = 112,928 × 112,928
4. Step 4: Simplify right side
   53,584x = 12,752,733,184
5. Step 5: Solve for x
   x = 12,752,733,184/53,584
6. Step 6: Final answer
   x = 237,995.17