Finding the Third Proportional to 149,822 and 321,878.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149,822 : 321,878.25 = 321,878.25 : x
2. Step 2: Convert to fraction form
   149,822/321,878.25 = 321,878.25/x
3. Step 3: Cross multiply
   149,822x = 321,878.25 × 321,878.25
4. Step 4: Simplify right side
   149,822x = 103,605,607,823.06
5. Step 5: Solve for x
   x = 103,605,607,823.06/149,822
6. Step 6: Final answer
   x = 691,524.66