Finding the Third Proportional to 397,282 and 510,090

Step by Step Solution

1. Step 1: Write the proportion equation
   397,282 : 510,090 = 510,090 : x
2. Step 2: Convert to fraction form
   397,282/510,090 = 510,090/x
3. Step 3: Cross multiply
   397,282x = 510,090 × 510,090
4. Step 4: Simplify right side
   397,282x = 260,191,808,100
5. Step 5: Solve for x
   x = 260,191,808,100/397,282
6. Step 6: Final answer
   x = 654,929.77