Finding the Third Proportional to 149,841 and 321,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,841 : 321,007.50 = 321,007.50 : x
2. Step 2: Convert to fraction form
   149,841/321,007.50 = 321,007.50/x
3. Step 3: Cross multiply
   149,841x = 321,007.50 × 321,007.50
4. Step 4: Simplify right side
   149,841x = 103,045,815,056.25
5. Step 5: Solve for x
   x = 103,045,815,056.25/149,841
6. Step 6: Final answer
   x = 687,701.06