Finding the Third Proportional to 103,413 and 142,406

Step by Step Solution

1. Step 1: Write the proportion equation
   103,413 : 142,406 = 142,406 : x
2. Step 2: Convert to fraction form
   103,413/142,406 = 142,406/x
3. Step 3: Cross multiply
   103,413x = 142,406 × 142,406
4. Step 4: Simplify right side
   103,413x = 20,279,468,836
5. Step 5: Solve for x
   x = 20,279,468,836/103,413
6. Step 6: Final answer
   x = 196,101.74