Finding the Third Proportional to 116,196 and 178,830

Step by Step Solution

1. Step 1: Write the proportion equation
   116,196 : 178,830 = 178,830 : x
2. Step 2: Convert to fraction form
   116,196/178,830 = 178,830/x
3. Step 3: Cross multiply
   116,196x = 178,830 × 178,830
4. Step 4: Simplify right side
   116,196x = 31,980,168,900
5. Step 5: Solve for x
   x = 31,980,168,900/116,196
6. Step 6: Final answer
   x = 275,226.07