Finding the Third Proportional to 214,839 and 505,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,839 : 505,345.50 = 505,345.50 : x
2. Step 2: Convert to fraction form
   214,839/505,345.50 = 505,345.50/x
3. Step 3: Cross multiply
   214,839x = 505,345.50 × 505,345.50
4. Step 4: Simplify right side
   214,839x = 255,374,074,370.25
5. Step 5: Solve for x
   x = 255,374,074,370.25/214,839
6. Step 6: Final answer
   x = 1,188,676.52