Finding the Third Proportional to 258,808.50 and 347,814

Step by Step Solution

1. Step 1: Write the proportion equation
   258,808.50 : 347,814 = 347,814 : x
2. Step 2: Convert to fraction form
   258,808.50/347,814 = 347,814/x
3. Step 3: Cross multiply
   258,808.50x = 347,814 × 347,814
4. Step 4: Simplify right side
   258,808.50x = 120,974,578,596
5. Step 5: Solve for x
   x = 120,974,578,596/258,808.50
6. Step 6: Final answer
   x = 467,428.92