Finding the Third Proportional to 117,196 and 181,620

Step by Step Solution

1. Step 1: Write the proportion equation
   117,196 : 181,620 = 181,620 : x
2. Step 2: Convert to fraction form
   117,196/181,620 = 181,620/x
3. Step 3: Cross multiply
   117,196x = 181,620 × 181,620
4. Step 4: Simplify right side
   117,196x = 32,985,824,400
5. Step 5: Solve for x
   x = 32,985,824,400/117,196
6. Step 6: Final answer
   x = 281,458.62