Finding the Third Proportional to 59,910 and 142,463

Step by Step Solution

1. Step 1: Write the proportion equation
   59,910 : 142,463 = 142,463 : x
2. Step 2: Convert to fraction form
   59,910/142,463 = 142,463/x
3. Step 3: Cross multiply
   59,910x = 142,463 × 142,463
4. Step 4: Simplify right side
   59,910x = 20,295,706,369
5. Step 5: Solve for x
   x = 20,295,706,369/59,910
6. Step 6: Final answer
   x = 338,769.93