Finding the Third Proportional to 77,404 and 158,086

Step by Step Solution

1. Step 1: Write the proportion equation
   77,404 : 158,086 = 158,086 : x
2. Step 2: Convert to fraction form
   77,404/158,086 = 158,086/x
3. Step 3: Cross multiply
   77,404x = 158,086 × 158,086
4. Step 4: Simplify right side
   77,404x = 24,991,183,396
5. Step 5: Solve for x
   x = 24,991,183,396/77,404
6. Step 6: Final answer
   x = 322,866.82