Finding the Third Proportional to 90,144 and 169,008

Step by Step Solution

1. Step 1: Write the proportion equation
   90,144 : 169,008 = 169,008 : x
2. Step 2: Convert to fraction form
   90,144/169,008 = 169,008/x
3. Step 3: Cross multiply
   90,144x = 169,008 × 169,008
4. Step 4: Simplify right side
   90,144x = 28,563,704,064
5. Step 5: Solve for x
   x = 28,563,704,064/90,144
6. Step 6: Final answer
   x = 316,867.50