Finding the Third Proportional to 140,868 and 293,382

Step by Step Solution

1. Step 1: Write the proportion equation
   140,868 : 293,382 = 293,382 : x
2. Step 2: Convert to fraction form
   140,868/293,382 = 293,382/x
3. Step 3: Cross multiply
   140,868x = 293,382 × 293,382
4. Step 4: Simplify right side
   140,868x = 86,072,997,924
5. Step 5: Solve for x
   x = 86,072,997,924/140,868
6. Step 6: Final answer
   x = 611,018.81