Finding the Third Proportional to 140,906 and 293,456

Step by Step Solution

1. Step 1: Write the proportion equation
   140,906 : 293,456 = 293,456 : x
2. Step 2: Convert to fraction form
   140,906/293,456 = 293,456/x
3. Step 3: Cross multiply
   140,906x = 293,456 × 293,456
4. Step 4: Simplify right side
   140,906x = 86,116,423,936
5. Step 5: Solve for x
   x = 86,116,423,936/140,906
6. Step 6: Final answer
   x = 611,162.22