Finding the Third Proportional to 70,642 and 153,434

Step by Step Solution

1. Step 1: Write the proportion equation
   70,642 : 153,434 = 153,434 : x
2. Step 2: Convert to fraction form
   70,642/153,434 = 153,434/x
3. Step 3: Cross multiply
   70,642x = 153,434 × 153,434
4. Step 4: Simplify right side
   70,642x = 23,541,992,356
5. Step 5: Solve for x
   x = 23,541,992,356/70,642
6. Step 6: Final answer
   x = 333,257.73