Finding the Third Proportional to 89,316 and 119,144

Step by Step Solution

1. Step 1: Write the proportion equation
   89,316 : 119,144 = 119,144 : x
2. Step 2: Convert to fraction form
   89,316/119,144 = 119,144/x
3. Step 3: Cross multiply
   89,316x = 119,144 × 119,144
4. Step 4: Simplify right side
   89,316x = 14,195,292,736
5. Step 5: Solve for x
   x = 14,195,292,736/89,316
6. Step 6: Final answer
   x = 158,933.37