Finding the Third Proportional to 149,826 and 321,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,826 : 321,886.50 = 321,886.50 : x
2. Step 2: Convert to fraction form
   149,826/321,886.50 = 321,886.50/x
3. Step 3: Cross multiply
   149,826x = 321,886.50 × 321,886.50
4. Step 4: Simplify right side
   149,826x = 103,610,918,882.25
5. Step 5: Solve for x
   x = 103,610,918,882.25/149,826
6. Step 6: Final answer
   x = 691,541.65