Finding the Third Proportional to 214,656 and 339,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,656 : 339,820.50 = 339,820.50 : x
2. Step 2: Convert to fraction form
   214,656/339,820.50 = 339,820.50/x
3. Step 3: Cross multiply
   214,656x = 339,820.50 × 339,820.50
4. Step 4: Simplify right side
   214,656x = 115,477,972,220.25
5. Step 5: Solve for x
   x = 115,477,972,220.25/214,656
6. Step 6: Final answer
   x = 537,967.60