Finding the Third Proportional to 510,416 and 783,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,416 : 783,467.50 = 783,467.50 : x
2. Step 2: Convert to fraction form
   510,416/783,467.50 = 783,467.50/x
3. Step 3: Cross multiply
   510,416x = 783,467.50 × 783,467.50
4. Step 4: Simplify right side
   510,416x = 613,821,323,556.25
5. Step 5: Solve for x
   x = 613,821,323,556.25/510,416
6. Step 6: Final answer
   x = 1,202,590.29