Finding the Third Proportional to 347,352 and 519,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,352 : 519,568.50 = 519,568.50 : x
2. Step 2: Convert to fraction form
   347,352/519,568.50 = 519,568.50/x
3. Step 3: Cross multiply
   347,352x = 519,568.50 × 519,568.50
4. Step 4: Simplify right side
   347,352x = 269,951,426,192.25
5. Step 5: Solve for x
   x = 269,951,426,192.25/347,352
6. Step 6: Final answer
   x = 777,169.63