Finding the Third Proportional to 70,946 and 148,462

Step by Step Solution

1. Step 1: Write the proportion equation
   70,946 : 148,462 = 148,462 : x
2. Step 2: Convert to fraction form
   70,946/148,462 = 148,462/x
3. Step 3: Cross multiply
   70,946x = 148,462 × 148,462
4. Step 4: Simplify right side
   70,946x = 22,040,965,444
5. Step 5: Solve for x
   x = 22,040,965,444/70,946
6. Step 6: Final answer
   x = 310,672.42