Finding the Third Proportional to 385,662 and 830,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   385,662 : 830,589.38 = 830,589.38 : x
2. Step 2: Convert to fraction form
   385,662/830,589.38 = 830,589.38/x
3. Step 3: Cross multiply
   385,662x = 830,589.38 × 830,589.38
4. Step 4: Simplify right side
   385,662x = 689,878,709,862.89
5. Step 5: Solve for x
   x = 689,878,709,862.89/385,662
6. Step 6: Final answer
   x = 1,788,816.92