Finding the Third Proportional to 117,491 and 178,995

Step by Step Solution

1. Step 1: Write the proportion equation
   117,491 : 178,995 = 178,995 : x
2. Step 2: Convert to fraction form
   117,491/178,995 = 178,995/x
3. Step 3: Cross multiply
   117,491x = 178,995 × 178,995
4. Step 4: Simplify right side
   117,491x = 32,039,210,025
5. Step 5: Solve for x
   x = 32,039,210,025/117,491
6. Step 6: Final answer
   x = 272,695.02