Finding the Third Proportional to 117,788 and 181,980

Step by Step Solution

1. Step 1: Write the proportion equation
   117,788 : 181,980 = 181,980 : x
2. Step 2: Convert to fraction form
   117,788/181,980 = 181,980/x
3. Step 3: Cross multiply
   117,788x = 181,980 × 181,980
4. Step 4: Simplify right side
   117,788x = 33,116,720,400
5. Step 5: Solve for x
   x = 33,116,720,400/117,788
6. Step 6: Final answer
   x = 281,155.30