Finding the Third Proportional to 85,972.50 and 186,768

Step by Step Solution

1. Step 1: Write the proportion equation
   85,972.50 : 186,768 = 186,768 : x
2. Step 2: Convert to fraction form
   85,972.50/186,768 = 186,768/x
3. Step 3: Cross multiply
   85,972.50x = 186,768 × 186,768
4. Step 4: Simplify right side
   85,972.50x = 34,882,285,824
5. Step 5: Solve for x
   x = 34,882,285,824/85,972.50
6. Step 6: Final answer
   x = 405,737.72