Finding the Third Proportional to 146,529 and 231,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,529 : 231,457.50 = 231,457.50 : x
2. Step 2: Convert to fraction form
   146,529/231,457.50 = 231,457.50/x
3. Step 3: Cross multiply
   146,529x = 231,457.50 × 231,457.50
4. Step 4: Simplify right side
   146,529x = 53,572,574,306.25
5. Step 5: Solve for x
   x = 53,572,574,306.25/146,529
6. Step 6: Final answer
   x = 365,610.73