Finding the Third Proportional to 258,457.50 and 377,661.38

Step by Step Solution

1. Step 1: Write the proportion equation
   258,457.50 : 377,661.38 = 377,661.38 : x
2. Step 2: Convert to fraction form
   258,457.50/377,661.38 = 377,661.38/x
3. Step 3: Cross multiply
   258,457.50x = 377,661.38 × 377,661.38
4. Step 4: Simplify right side
   258,457.50x = 142,628,114,166.89
5. Step 5: Solve for x
   x = 142,628,114,166.89/258,457.50
6. Step 6: Final answer
   x = 551,843.59