Finding the Third Proportional to 149,820 and 320,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,820 : 320,962.50 = 320,962.50 : x
2. Step 2: Convert to fraction form
   149,820/320,962.50 = 320,962.50/x
3. Step 3: Cross multiply
   149,820x = 320,962.50 × 320,962.50
4. Step 4: Simplify right side
   149,820x = 103,016,926,406.25
5. Step 5: Solve for x
   x = 103,016,926,406.25/149,820
6. Step 6: Final answer
   x = 687,604.63