Finding the Third Proportional to 345,951 and 518,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,951 : 518,926.50 = 518,926.50 : x
2. Step 2: Convert to fraction form
   345,951/518,926.50 = 518,926.50/x
3. Step 3: Cross multiply
   345,951x = 518,926.50 × 518,926.50
4. Step 4: Simplify right side
   345,951x = 269,284,712,402.25
5. Step 5: Solve for x
   x = 269,284,712,402.25/345,951
6. Step 6: Final answer
   x = 778,389.75