Finding the Third Proportional to 209,309 and 334,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,309 : 334,159.50 = 334,159.50 : x
2. Step 2: Convert to fraction form
   209,309/334,159.50 = 334,159.50/x
3. Step 3: Cross multiply
   209,309x = 334,159.50 × 334,159.50
4. Step 4: Simplify right side
   209,309x = 111,662,571,440.25
5. Step 5: Solve for x
   x = 111,662,571,440.25/209,309
6. Step 6: Final answer
   x = 533,481.94