Finding the Third Proportional to 70,784 and 148,384

Step by Step Solution

1. Step 1: Write the proportion equation
   70,784 : 148,384 = 148,384 : x
2. Step 2: Convert to fraction form
   70,784/148,384 = 148,384/x
3. Step 3: Cross multiply
   70,784x = 148,384 × 148,384
4. Step 4: Simplify right side
   70,784x = 22,017,811,456
5. Step 5: Solve for x
   x = 22,017,811,456/70,784
6. Step 6: Final answer
   x = 311,056.33