Finding the Third Proportional to 140,982 and 310,002

Step by Step Solution

1. Step 1: Write the proportion equation
   140,982 : 310,002 = 310,002 : x
2. Step 2: Convert to fraction form
   140,982/310,002 = 310,002/x
3. Step 3: Cross multiply
   140,982x = 310,002 × 310,002
4. Step 4: Simplify right side
   140,982x = 96,101,240,004
5. Step 5: Solve for x
   x = 96,101,240,004/140,982
6. Step 6: Final answer
   x = 681,656.10