Finding the Third Proportional to 69,003 and 140,543

Step by Step Solution

1. Step 1: Write the proportion equation
   69,003 : 140,543 = 140,543 : x
2. Step 2: Convert to fraction form
   69,003/140,543 = 140,543/x
3. Step 3: Cross multiply
   69,003x = 140,543 × 140,543
4. Step 4: Simplify right side
   69,003x = 19,752,334,849
5. Step 5: Solve for x
   x = 19,752,334,849/69,003
6. Step 6: Final answer
   x = 286,253.28