Finding the Third Proportional to 116,789 and 178,100

Step by Step Solution

1. Step 1: Write the proportion equation
   116,789 : 178,100 = 178,100 : x
2. Step 2: Convert to fraction form
   116,789/178,100 = 178,100/x
3. Step 3: Cross multiply
   116,789x = 178,100 × 178,100
4. Step 4: Simplify right side
   116,789x = 31,719,610,000
5. Step 5: Solve for x
   x = 31,719,610,000/116,789
6. Step 6: Final answer
   x = 271,597.58