Finding the Third Proportional to 77,261 and 160,443

Step by Step Solution

1. Step 1: Write the proportion equation
   77,261 : 160,443 = 160,443 : x
2. Step 2: Convert to fraction form
   77,261/160,443 = 160,443/x
3. Step 3: Cross multiply
   77,261x = 160,443 × 160,443
4. Step 4: Simplify right side
   77,261x = 25,741,956,249
5. Step 5: Solve for x
   x = 25,741,956,249/77,261
6. Step 6: Final answer
   x = 333,181.76