Finding the Third Proportional to 511,623 and 715,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,623 : 715,648.50 = 715,648.50 : x
2. Step 2: Convert to fraction form
   511,623/715,648.50 = 715,648.50/x
3. Step 3: Cross multiply
   511,623x = 715,648.50 × 715,648.50
4. Step 4: Simplify right side
   511,623x = 512,152,775,552.25
5. Step 5: Solve for x
   x = 512,152,775,552.25/511,623
6. Step 6: Final answer
   x = 1,001,035.48