Finding the Third Proportional to 78,401 and 117,779

Step by Step Solution

1. Step 1: Write the proportion equation
   78,401 : 117,779 = 117,779 : x
2. Step 2: Convert to fraction form
   78,401/117,779 = 117,779/x
3. Step 3: Cross multiply
   78,401x = 117,779 × 117,779
4. Step 4: Simplify right side
   78,401x = 13,871,892,841
5. Step 5: Solve for x
   x = 13,871,892,841/78,401
6. Step 6: Final answer
   x = 176,935.15