Finding the Third Proportional to 78,240 and 152,560

Step by Step Solution

1. Step 1: Write the proportion equation
   78,240 : 152,560 = 152,560 : x
2. Step 2: Convert to fraction form
   78,240/152,560 = 152,560/x
3. Step 3: Cross multiply
   78,240x = 152,560 × 152,560
4. Step 4: Simplify right side
   78,240x = 23,274,553,600
5. Step 5: Solve for x
   x = 23,274,553,600/78,240
6. Step 6: Final answer
   x = 297,476.40