Finding the Third Proportional to 116,580 and 253,920

Step by Step Solution

1. Step 1: Write the proportion equation
   116,580 : 253,920 = 253,920 : x
2. Step 2: Convert to fraction form
   116,580/253,920 = 253,920/x
3. Step 3: Cross multiply
   116,580x = 253,920 × 253,920
4. Step 4: Simplify right side
   116,580x = 64,475,366,400
5. Step 5: Solve for x
   x = 64,475,366,400/116,580
6. Step 6: Final answer
   x = 553,056.84