Finding the Third Proportional to 205,755 and 421,043.75

Step by Step Solution

1. Step 1: Write the proportion equation
   205,755 : 421,043.75 = 421,043.75 : x
2. Step 2: Convert to fraction form
   205,755/421,043.75 = 421,043.75/x
3. Step 3: Cross multiply
   205,755x = 421,043.75 × 421,043.75
4. Step 4: Simplify right side
   205,755x = 177,277,839,414.06
5. Step 5: Solve for x
   x = 177,277,839,414.06/205,755
6. Step 6: Final answer
   x = 861,596.75