Finding the Third Proportional to 385,111.13 and 821,743.31

Step by Step Solution

1. Step 1: Write the proportion equation
   385,111.13 : 821,743.31 = 821,743.31 : x
2. Step 2: Convert to fraction form
   385,111.13/821,743.31 = 821,743.31/x
3. Step 3: Cross multiply
   385,111.13x = 821,743.31 × 821,743.31
4. Step 4: Simplify right side
   385,111.13x = 675,262,071,638.47
5. Step 5: Solve for x
   x = 675,262,071,638.47/385,111.13
6. Step 6: Final answer
   x = 1,753,421.36