Finding the Third Proportional to 77,789 and 167,404

Step by Step Solution

1. Step 1: Write the proportion equation
   77,789 : 167,404 = 167,404 : x
2. Step 2: Convert to fraction form
   77,789/167,404 = 167,404/x
3. Step 3: Cross multiply
   77,789x = 167,404 × 167,404
4. Step 4: Simplify right side
   77,789x = 28,024,099,216
5. Step 5: Solve for x
   x = 28,024,099,216/77,789
6. Step 6: Final answer
   x = 360,257.87