Finding the Third Proportional to 102,325 and 209,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,325 : 209,721.50 = 209,721.50 : x
2. Step 2: Convert to fraction form
   102,325/209,721.50 = 209,721.50/x
3. Step 3: Cross multiply
   102,325x = 209,721.50 × 209,721.50
4. Step 4: Simplify right side
   102,325x = 43,983,107,562.25
5. Step 5: Solve for x
   x = 43,983,107,562.25/102,325
6. Step 6: Final answer
   x = 429,837.36