Finding the Third Proportional to 116,280 and 178,956

Step by Step Solution

1. Step 1: Write the proportion equation
   116,280 : 178,956 = 178,956 : x
2. Step 2: Convert to fraction form
   116,280/178,956 = 178,956/x
3. Step 3: Cross multiply
   116,280x = 178,956 × 178,956
4. Step 4: Simplify right side
   116,280x = 32,025,249,936
5. Step 5: Solve for x
   x = 32,025,249,936/116,280
6. Step 6: Final answer
   x = 275,414.95