Finding the Third Proportional to 149,815 and 320,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,815 : 320,952.50 = 320,952.50 : x
2. Step 2: Convert to fraction form
   149,815/320,952.50 = 320,952.50/x
3. Step 3: Cross multiply
   149,815x = 320,952.50 × 320,952.50
4. Step 4: Simplify right side
   149,815x = 103,010,507,256.25
5. Step 5: Solve for x
   x = 103,010,507,256.25/149,815
6. Step 6: Final answer
   x = 687,584.74