Finding the Third Proportional to 140,741 and 287,212

Step by Step Solution

1. Step 1: Write the proportion equation
   140,741 : 287,212 = 287,212 : x
2. Step 2: Convert to fraction form
   140,741/287,212 = 287,212/x
3. Step 3: Cross multiply
   140,741x = 287,212 × 287,212
4. Step 4: Simplify right side
   140,741x = 82,490,732,944
5. Step 5: Solve for x
   x = 82,490,732,944/140,741
6. Step 6: Final answer
   x = 586,117.29