Finding the Third Proportional to 103,820 and 148,462

Step by Step Solution

1. Step 1: Write the proportion equation
   103,820 : 148,462 = 148,462 : x
2. Step 2: Convert to fraction form
   103,820/148,462 = 148,462/x
3. Step 3: Cross multiply
   103,820x = 148,462 × 148,462
4. Step 4: Simplify right side
   103,820x = 22,040,965,444
5. Step 5: Solve for x
   x = 22,040,965,444/103,820
6. Step 6: Final answer
   x = 212,299.80