Finding the Third Proportional to 69,147 and 140,832

Step by Step Solution

1. Step 1: Write the proportion equation
   69,147 : 140,832 = 140,832 : x
2. Step 2: Convert to fraction form
   69,147/140,832 = 140,832/x
3. Step 3: Cross multiply
   69,147x = 140,832 × 140,832
4. Step 4: Simplify right side
   69,147x = 19,833,652,224
5. Step 5: Solve for x
   x = 19,833,652,224/69,147
6. Step 6: Final answer
   x = 286,833.16