Finding the Third Proportional to 51,401 and 109,588

Step by Step Solution

1. Step 1: Write the proportion equation
   51,401 : 109,588 = 109,588 : x
2. Step 2: Convert to fraction form
   51,401/109,588 = 109,588/x
3. Step 3: Cross multiply
   51,401x = 109,588 × 109,588
4. Step 4: Simplify right side
   51,401x = 12,009,529,744
5. Step 5: Solve for x
   x = 12,009,529,744/51,401
6. Step 6: Final answer
   x = 233,643.89