Finding the Third Proportional to 385,994 and 830,308

Step by Step Solution

1. Step 1: Write the proportion equation
   385,994 : 830,308 = 830,308 : x
2. Step 2: Convert to fraction form
   385,994/830,308 = 830,308/x
3. Step 3: Cross multiply
   385,994x = 830,308 × 830,308
4. Step 4: Simplify right side
   385,994x = 689,411,374,864
5. Step 5: Solve for x
   x = 689,411,374,864/385,994
6. Step 6: Final answer
   x = 1,786,067.59