Finding the Third Proportional to 116,716 and 185,280

Step by Step Solution

1. Step 1: Write the proportion equation
   116,716 : 185,280 = 185,280 : x
2. Step 2: Convert to fraction form
   116,716/185,280 = 185,280/x
3. Step 3: Cross multiply
   116,716x = 185,280 × 185,280
4. Step 4: Simplify right side
   116,716x = 34,328,678,400
5. Step 5: Solve for x
   x = 34,328,678,400/116,716
6. Step 6: Final answer
   x = 294,121.44