Finding the Third Proportional to 343,584 and 519,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,584 : 519,139.50 = 519,139.50 : x
2. Step 2: Convert to fraction form
   343,584/519,139.50 = 519,139.50/x
3. Step 3: Cross multiply
   343,584x = 519,139.50 × 519,139.50
4. Step 4: Simplify right side
   343,584x = 269,505,820,460.25
5. Step 5: Solve for x
   x = 269,505,820,460.25/343,584
6. Step 6: Final answer
   x = 784,395.72