Finding the Third Proportional to 359,744 and 519,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,744 : 519,727.50 = 519,727.50 : x
2. Step 2: Convert to fraction form
   359,744/519,727.50 = 519,727.50/x
3. Step 3: Cross multiply
   359,744x = 519,727.50 × 519,727.50
4. Step 4: Simplify right side
   359,744x = 270,116,674,256.25
5. Step 5: Solve for x
   x = 270,116,674,256.25/359,744
6. Step 6: Final answer
   x = 750,858.04