Finding the Third Proportional to 140,972 and 309,854

Step by Step Solution

1. Step 1: Write the proportion equation
   140,972 : 309,854 = 309,854 : x
2. Step 2: Convert to fraction form
   140,972/309,854 = 309,854/x
3. Step 3: Cross multiply
   140,972x = 309,854 × 309,854
4. Step 4: Simplify right side
   140,972x = 96,009,501,316
5. Step 5: Solve for x
   x = 96,009,501,316/140,972
6. Step 6: Final answer
   x = 681,053.69