Finding the Third Proportional to 209,442 and 331,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,442 : 331,795.50 = 331,795.50 : x
2. Step 2: Convert to fraction form
   209,442/331,795.50 = 331,795.50/x
3. Step 3: Cross multiply
   209,442x = 331,795.50 × 331,795.50
4. Step 4: Simplify right side
   209,442x = 110,088,253,820.25
5. Step 5: Solve for x
   x = 110,088,253,820.25/209,442
6. Step 6: Final answer
   x = 525,626.44