Finding the Third Proportional to 77,795 and 158,443

Step by Step Solution

1. Step 1: Write the proportion equation
   77,795 : 158,443 = 158,443 : x
2. Step 2: Convert to fraction form
   77,795/158,443 = 158,443/x
3. Step 3: Cross multiply
   77,795x = 158,443 × 158,443
4. Step 4: Simplify right side
   77,795x = 25,104,184,249
5. Step 5: Solve for x
   x = 25,104,184,249/77,795
6. Step 6: Final answer
   x = 322,696.63