Finding the Third Proportional to 510,061.50 and 765,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,061.50 : 765,175.50 = 765,175.50 : x
2. Step 2: Convert to fraction form
   510,061.50/765,175.50 = 765,175.50/x
3. Step 3: Cross multiply
   510,061.50x = 765,175.50 × 765,175.50
4. Step 4: Simplify right side
   510,061.50x = 585,493,545,800.25
5. Step 5: Solve for x
   x = 585,493,545,800.25/510,061.50
6. Step 6: Final answer
   x = 1,147,888.14