Finding the Third Proportional to 76,752 and 168,327

Step by Step Solution

1. Step 1: Write the proportion equation
   76,752 : 168,327 = 168,327 : x
2. Step 2: Convert to fraction form
   76,752/168,327 = 168,327/x
3. Step 3: Cross multiply
   76,752x = 168,327 × 168,327
4. Step 4: Simplify right side
   76,752x = 28,333,978,929
5. Step 5: Solve for x
   x = 28,333,978,929/76,752
6. Step 6: Final answer
   x = 369,162.74