Finding the Third Proportional to 116,472 and 178,104

Step by Step Solution

1. Step 1: Write the proportion equation
   116,472 : 178,104 = 178,104 : x
2. Step 2: Convert to fraction form
   116,472/178,104 = 178,104/x
3. Step 3: Cross multiply
   116,472x = 178,104 × 178,104
4. Step 4: Simplify right side
   116,472x = 31,721,034,816
5. Step 5: Solve for x
   x = 31,721,034,816/116,472
6. Step 6: Final answer
   x = 272,349.02