Finding the Third Proportional to 140,895 and 293,427

Step by Step Solution

1. Step 1: Write the proportion equation
   140,895 : 293,427 = 293,427 : x
2. Step 2: Convert to fraction form
   140,895/293,427 = 293,427/x
3. Step 3: Cross multiply
   140,895x = 293,427 × 293,427
4. Step 4: Simplify right side
   140,895x = 86,099,404,329
5. Step 5: Solve for x
   x = 86,099,404,329/140,895
6. Step 6: Final answer
   x = 611,089.14