Finding the Third Proportional to 397,219.50 and 510,019.88

Step by Step Solution

1. Step 1: Write the proportion equation
   397,219.50 : 510,019.88 = 510,019.88 : x
2. Step 2: Convert to fraction form
   397,219.50/510,019.88 = 510,019.88/x
3. Step 3: Cross multiply
   397,219.50x = 510,019.88 × 510,019.88
4. Step 4: Simplify right side
   397,219.50x = 260,120,272,895.02
5. Step 5: Solve for x
   x = 260,120,272,895.02/397,219.50
6. Step 6: Final answer
   x = 654,852.73