Finding the Third Proportional to 146,529 and 193,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,529 : 193,549.50 = 193,549.50 : x
2. Step 2: Convert to fraction form
   146,529/193,549.50 = 193,549.50/x
3. Step 3: Cross multiply
   146,529x = 193,549.50 × 193,549.50
4. Step 4: Simplify right side
   146,529x = 37,461,408,950.25
5. Step 5: Solve for x
   x = 37,461,408,950.25/146,529
6. Step 6: Final answer
   x = 255,658.67