Finding the Third Proportional to 360,976 and 561,152

Step by Step Solution

1. Step 1: Write the proportion equation
   360,976 : 561,152 = 561,152 : x
2. Step 2: Convert to fraction form
   360,976/561,152 = 561,152/x
3. Step 3: Cross multiply
   360,976x = 561,152 × 561,152
4. Step 4: Simplify right side
   360,976x = 314,891,567,104
5. Step 5: Solve for x
   x = 314,891,567,104/360,976
6. Step 6: Final answer
   x = 872,333.80