Finding the Third Proportional to 378,267 and 585,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,267 : 585,676.50 = 585,676.50 : x
2. Step 2: Convert to fraction form
   378,267/585,676.50 = 585,676.50/x
3. Step 3: Cross multiply
   378,267x = 585,676.50 × 585,676.50
4. Step 4: Simplify right side
   378,267x = 343,016,962,652.25
5. Step 5: Solve for x
   x = 343,016,962,652.25/378,267
6. Step 6: Final answer
   x = 906,811.76