Finding the Third Proportional to 209,307 and 334,155.75

Step by Step Solution

1. Step 1: Write the proportion equation
   209,307 : 334,155.75 = 334,155.75 : x
2. Step 2: Convert to fraction form
   209,307/334,155.75 = 334,155.75/x
3. Step 3: Cross multiply
   209,307x = 334,155.75 × 334,155.75
4. Step 4: Simplify right side
   209,307x = 111,660,065,258.06
5. Step 5: Solve for x
   x = 111,660,065,258.06/209,307
6. Step 6: Final answer
   x = 533,475.06