Finding the Third Proportional to 115,584 and 253,200

Step by Step Solution

1. Step 1: Write the proportion equation
   115,584 : 253,200 = 253,200 : x
2. Step 2: Convert to fraction form
   115,584/253,200 = 253,200/x
3. Step 3: Cross multiply
   115,584x = 253,200 × 253,200
4. Step 4: Simplify right side
   115,584x = 64,110,240,000
5. Step 5: Solve for x
   x = 64,110,240,000/115,584
6. Step 6: Final answer
   x = 554,663.62