Finding the Third Proportional to 76,681 and 116,401

Step by Step Solution

1. Step 1: Write the proportion equation
   76,681 : 116,401 = 116,401 : x
2. Step 2: Convert to fraction form
   76,681/116,401 = 116,401/x
3. Step 3: Cross multiply
   76,681x = 116,401 × 116,401
4. Step 4: Simplify right side
   76,681x = 13,549,192,801
5. Step 5: Solve for x
   x = 13,549,192,801/76,681
6. Step 6: Final answer
   x = 176,695.57