Finding the Third Proportional to 101,438 and 148,401

Step by Step Solution

1. Step 1: Write the proportion equation
   101,438 : 148,401 = 148,401 : x
2. Step 2: Convert to fraction form
   101,438/148,401 = 148,401/x
3. Step 3: Cross multiply
   101,438x = 148,401 × 148,401
4. Step 4: Simplify right side
   101,438x = 22,022,856,801
5. Step 5: Solve for x
   x = 22,022,856,801/101,438
6. Step 6: Final answer
   x = 217,106.58