Finding the Third Proportional to 149,824.50 and 321,882

Step by Step Solution

1. Step 1: Write the proportion equation
   149,824.50 : 321,882 = 321,882 : x
2. Step 2: Convert to fraction form
   149,824.50/321,882 = 321,882/x
3. Step 3: Cross multiply
   149,824.50x = 321,882 × 321,882
4. Step 4: Simplify right side
   149,824.50x = 103,608,021,924
5. Step 5: Solve for x
   x = 103,608,021,924/149,824.50
6. Step 6: Final answer
   x = 691,529.24