Finding the Third Proportional to 95,686.25 and 205,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,686.25 : 205,996.50 = 205,996.50 : x
2. Step 2: Convert to fraction form
   95,686.25/205,996.50 = 205,996.50/x
3. Step 3: Cross multiply
   95,686.25x = 205,996.50 × 205,996.50
4. Step 4: Simplify right side
   95,686.25x = 42,434,558,012.25
5. Step 5: Solve for x
   x = 42,434,558,012.25/95,686.25
6. Step 6: Final answer
   x = 443,476.03