Finding the Third Proportional to 164,625 and 245,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,625 : 245,962.50 = 245,962.50 : x
2. Step 2: Convert to fraction form
   164,625/245,962.50 = 245,962.50/x
3. Step 3: Cross multiply
   164,625x = 245,962.50 × 245,962.50
4. Step 4: Simplify right side
   164,625x = 60,497,551,406.25
5. Step 5: Solve for x
   x = 60,497,551,406.25/164,625
6. Step 6: Final answer
   x = 367,487.02