Finding the Third Proportional to 72,426 and 153,546

Step by Step Solution

1. Step 1: Write the proportion equation
   72,426 : 153,546 = 153,546 : x
2. Step 2: Convert to fraction form
   72,426/153,546 = 153,546/x
3. Step 3: Cross multiply
   72,426x = 153,546 × 153,546
4. Step 4: Simplify right side
   72,426x = 23,576,374,116
5. Step 5: Solve for x
   x = 23,576,374,116/72,426
6. Step 6: Final answer
   x = 325,523.63