Finding the Third Proportional to 76,320 and 168,144

Step by Step Solution

1. Step 1: Write the proportion equation
   76,320 : 168,144 = 168,144 : x
2. Step 2: Convert to fraction form
   76,320/168,144 = 168,144/x
3. Step 3: Cross multiply
   76,320x = 168,144 × 168,144
4. Step 4: Simplify right side
   76,320x = 28,272,404,736
5. Step 5: Solve for x
   x = 28,272,404,736/76,320
6. Step 6: Final answer
   x = 370,445.55