Finding the Third Proportional to 152,480 and 204,816

Step by Step Solution

1. Step 1: Write the proportion equation
   152,480 : 204,816 = 204,816 : x
2. Step 2: Convert to fraction form
   152,480/204,816 = 204,816/x
3. Step 3: Cross multiply
   152,480x = 204,816 × 204,816
4. Step 4: Simplify right side
   152,480x = 41,949,593,856
5. Step 5: Solve for x
   x = 41,949,593,856/152,480
6. Step 6: Final answer
   x = 275,115.38