Finding the Third Proportional to 343,706 and 519,981.75

Step by Step Solution

1. Step 1: Write the proportion equation
   343,706 : 519,981.75 = 519,981.75 : x
2. Step 2: Convert to fraction form
   343,706/519,981.75 = 519,981.75/x
3. Step 3: Cross multiply
   343,706x = 519,981.75 × 519,981.75
4. Step 4: Simplify right side
   343,706x = 270,381,020,333.06
5. Step 5: Solve for x
   x = 270,381,020,333.06/343,706
6. Step 6: Final answer
   x = 786,663.66