Finding the Third Proportional to 510,003 and 766,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,003 : 766,219.50 = 766,219.50 : x
2. Step 2: Convert to fraction form
   510,003/766,219.50 = 766,219.50/x
3. Step 3: Cross multiply
   510,003x = 766,219.50 × 766,219.50
4. Step 4: Simplify right side
   510,003x = 587,092,322,180.25
5. Step 5: Solve for x
   x = 587,092,322,180.25/510,003
6. Step 6: Final answer
   x = 1,151,154.64