Finding the Third Proportional to 149,815.41 and 321,865.31

Step by Step Solution

1. Step 1: Write the proportion equation
   149,815.41 : 321,865.31 = 321,865.31 : x
2. Step 2: Convert to fraction form
   149,815.41/321,865.31 = 321,865.31/x
3. Step 3: Cross multiply
   149,815.41x = 321,865.31 × 321,865.31
4. Step 4: Simplify right side
   149,815.41x = 103,597,279,390.72
5. Step 5: Solve for x
   x = 103,597,279,390.72/149,815.41
6. Step 6: Final answer
   x = 691,499.51