Finding the Third Proportional to 397,300.50 and 510,126.75

Step by Step Solution

1. Step 1: Write the proportion equation
   397,300.50 : 510,126.75 = 510,126.75 : x
2. Step 2: Convert to fraction form
   397,300.50/510,126.75 = 510,126.75/x
3. Step 3: Cross multiply
   397,300.50x = 510,126.75 × 510,126.75
4. Step 4: Simplify right side
   397,300.50x = 260,229,301,065.56
5. Step 5: Solve for x
   x = 260,229,301,065.56/397,300.50
6. Step 6: Final answer
   x = 654,993.64