Finding the Third Proportional to 157,842 and 326,909.25

Step by Step Solution

1. Step 1: Write the proportion equation
   157,842 : 326,909.25 = 326,909.25 : x
2. Step 2: Convert to fraction form
   157,842/326,909.25 = 326,909.25/x
3. Step 3: Cross multiply
   157,842x = 326,909.25 × 326,909.25
4. Step 4: Simplify right side
   157,842x = 106,869,657,735.56
5. Step 5: Solve for x
   x = 106,869,657,735.56/157,842
6. Step 6: Final answer
   x = 677,067.31