Finding the Third Proportional to 149,625 and 320,267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149,625 : 320,267.25 = 320,267.25 : x
2. Step 2: Convert to fraction form
   149,625/320,267.25 = 320,267.25/x
3. Step 3: Cross multiply
   149,625x = 320,267.25 × 320,267.25
4. Step 4: Simplify right side
   149,625x = 102,571,111,422.56
5. Step 5: Solve for x
   x = 102,571,111,422.56/149,625
6. Step 6: Final answer
   x = 685,521.21