Finding the Third Proportional to 98,940 and 138,401

Step by Step Solution

1. Step 1: Write the proportion equation
   98,940 : 138,401 = 138,401 : x
2. Step 2: Convert to fraction form
   98,940/138,401 = 138,401/x
3. Step 3: Cross multiply
   98,940x = 138,401 × 138,401
4. Step 4: Simplify right side
   98,940x = 19,154,836,801
5. Step 5: Solve for x
   x = 19,154,836,801/98,940
6. Step 6: Final answer
   x = 193,600.53