Finding the Third Proportional to 431,994 and 581,550

Step by Step Solution

1. Step 1: Write the proportion equation
   431,994 : 581,550 = 581,550 : x
2. Step 2: Convert to fraction form
   431,994/581,550 = 581,550/x
3. Step 3: Cross multiply
   431,994x = 581,550 × 581,550
4. Step 4: Simplify right side
   431,994x = 338,200,402,500
5. Step 5: Solve for x
   x = 338,200,402,500/431,994
6. Step 6: Final answer
   x = 782,882.18