Finding the Third Proportional to 363,416 and 541,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,416 : 541,572.50 = 541,572.50 : x
2. Step 2: Convert to fraction form
   363,416/541,572.50 = 541,572.50/x
3. Step 3: Cross multiply
   363,416x = 541,572.50 × 541,572.50
4. Step 4: Simplify right side
   363,416x = 293,300,772,756.25
5. Step 5: Solve for x
   x = 293,300,772,756.25/363,416
6. Step 6: Final answer
   x = 807,066.21