Finding the Third Proportional to 521,347.50 and 765,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   521,347.50 : 765,103.50 = 765,103.50 : x
2. Step 2: Convert to fraction form
   521,347.50/765,103.50 = 765,103.50/x
3. Step 3: Cross multiply
   521,347.50x = 765,103.50 × 765,103.50
4. Step 4: Simplify right side
   521,347.50x = 585,383,365,712.25
5. Step 5: Solve for x
   x = 585,383,365,712.25/521,347.50
6. Step 6: Final answer
   x = 1,122,827.61