Finding the Third Proportional to 72,876 and 158,784

Step by Step Solution

1. Step 1: Write the proportion equation
   72,876 : 158,784 = 158,784 : x
2. Step 2: Convert to fraction form
   72,876/158,784 = 158,784/x
3. Step 3: Cross multiply
   72,876x = 158,784 × 158,784
4. Step 4: Simplify right side
   72,876x = 25,212,358,656
5. Step 5: Solve for x
   x = 25,212,358,656/72,876
6. Step 6: Final answer
   x = 345,962.44