Finding the Third Proportional to 35,092 and 78,956

Step by Step Solution

1. Step 1: Write the proportion equation
   35,092 : 78,956 = 78,956 : x
2. Step 2: Convert to fraction form
   35,092/78,956 = 78,956/x
3. Step 3: Cross multiply
   35,092x = 78,956 × 78,956
4. Step 4: Simplify right side
   35,092x = 6,234,049,936
5. Step 5: Solve for x
   x = 6,234,049,936/35,092
6. Step 6: Final answer
   x = 177,648.75