Finding the Third Proportional to 117,776 and 181,956

Step by Step Solution

1. Step 1: Write the proportion equation
   117,776 : 181,956 = 181,956 : x
2. Step 2: Convert to fraction form
   117,776/181,956 = 181,956/x
3. Step 3: Cross multiply
   117,776x = 181,956 × 181,956
4. Step 4: Simplify right side
   117,776x = 33,107,985,936
5. Step 5: Solve for x
   x = 33,107,985,936/117,776
6. Step 6: Final answer
   x = 281,109.78