Finding the Third Proportional to 385,844 and 846,384

Step by Step Solution

1. Step 1: Write the proportion equation
   385,844 : 846,384 = 846,384 : x
2. Step 2: Convert to fraction form
   385,844/846,384 = 846,384/x
3. Step 3: Cross multiply
   385,844x = 846,384 × 846,384
4. Step 4: Simplify right side
   385,844x = 716,365,875,456
5. Step 5: Solve for x
   x = 716,365,875,456/385,844
6. Step 6: Final answer
   x = 1,856,620.49