Finding the Third Proportional to 64,346 and 142,462

Step by Step Solution

1. Step 1: Write the proportion equation
   64,346 : 142,462 = 142,462 : x
2. Step 2: Convert to fraction form
   64,346/142,462 = 142,462/x
3. Step 3: Cross multiply
   64,346x = 142,462 × 142,462
4. Step 4: Simplify right side
   64,346x = 20,295,421,444
5. Step 5: Solve for x
   x = 20,295,421,444/64,346
6. Step 6: Final answer
   x = 315,410.77