Finding the Third Proportional to 78,842 and 117,954

Step by Step Solution

1. Step 1: Write the proportion equation
   78,842 : 117,954 = 117,954 : x
2. Step 2: Convert to fraction form
   78,842/117,954 = 117,954/x
3. Step 3: Cross multiply
   78,842x = 117,954 × 117,954
4. Step 4: Simplify right side
   78,842x = 13,913,146,116
5. Step 5: Solve for x
   x = 13,913,146,116/78,842
6. Step 6: Final answer
   x = 176,468.71