Finding the Third Proportional to 140,858 and 293,410

Step by Step Solution

1. Step 1: Write the proportion equation
   140,858 : 293,410 = 293,410 : x
2. Step 2: Convert to fraction form
   140,858/293,410 = 293,410/x
3. Step 3: Cross multiply
   140,858x = 293,410 × 293,410
4. Step 4: Simplify right side
   140,858x = 86,089,428,100
5. Step 5: Solve for x
   x = 86,089,428,100/140,858
6. Step 6: Final answer
   x = 611,178.83