Finding the Third Proportional to 72,814 and 158,804

Step by Step Solution

1. Step 1: Write the proportion equation
   72,814 : 158,804 = 158,804 : x
2. Step 2: Convert to fraction form
   72,814/158,804 = 158,804/x
3. Step 3: Cross multiply
   72,814x = 158,804 × 158,804
4. Step 4: Simplify right side
   72,814x = 25,218,710,416
5. Step 5: Solve for x
   x = 25,218,710,416/72,814
6. Step 6: Final answer
   x = 346,344.25