Finding the Third Proportional to 140,856 and 293,316

Step by Step Solution

1. Step 1: Write the proportion equation
   140,856 : 293,316 = 293,316 : x
2. Step 2: Convert to fraction form
   140,856/293,316 = 293,316/x
3. Step 3: Cross multiply
   140,856x = 293,316 × 293,316
4. Step 4: Simplify right side
   140,856x = 86,034,275,856
5. Step 5: Solve for x
   x = 86,034,275,856/140,856
6. Step 6: Final answer
   x = 610,795.96