Finding the Third Proportional to 120,466 and 178,955

Step by Step Solution

1. Step 1: Write the proportion equation
   120,466 : 178,955 = 178,955 : x
2. Step 2: Convert to fraction form
   120,466/178,955 = 178,955/x
3. Step 3: Cross multiply
   120,466x = 178,955 × 178,955
4. Step 4: Simplify right side
   120,466x = 32,024,892,025
5. Step 5: Solve for x
   x = 32,024,892,025/120,466
6. Step 6: Final answer
   x = 265,841.75