Finding the Third Proportional to 140,946 and 293,520

Step by Step Solution

1. Step 1: Write the proportion equation
   140,946 : 293,520 = 293,520 : x
2. Step 2: Convert to fraction form
   140,946/293,520 = 293,520/x
3. Step 3: Cross multiply
   140,946x = 293,520 × 293,520
4. Step 4: Simplify right side
   140,946x = 86,153,990,400
5. Step 5: Solve for x
   x = 86,153,990,400/140,946
6. Step 6: Final answer
   x = 611,255.31