Finding the Third Proportional to 347,419.50 and 519,084

Step by Step Solution

1. Step 1: Write the proportion equation
   347,419.50 : 519,084 = 519,084 : x
2. Step 2: Convert to fraction form
   347,419.50/519,084 = 519,084/x
3. Step 3: Cross multiply
   347,419.50x = 519,084 × 519,084
4. Step 4: Simplify right side
   347,419.50x = 269,448,199,056
5. Step 5: Solve for x
   x = 269,448,199,056/347,419.50
6. Step 6: Final answer
   x = 775,570.17