Finding the Third Proportional to 431,994 and 581,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   431,994 : 581,548.50 = 581,548.50 : x
2. Step 2: Convert to fraction form
   431,994/581,548.50 = 581,548.50/x
3. Step 3: Cross multiply
   431,994x = 581,548.50 × 581,548.50
4. Step 4: Simplify right side
   431,994x = 338,198,657,852.25
5. Step 5: Solve for x
   x = 338,198,657,852.25/431,994
6. Step 6: Final answer
   x = 782,878.14