Finding the Third Proportional to 85,819.75 and 186,896

Step by Step Solution

1. Step 1: Write the proportion equation
   85,819.75 : 186,896 = 186,896 : x
2. Step 2: Convert to fraction form
   85,819.75/186,896 = 186,896/x
3. Step 3: Cross multiply
   85,819.75x = 186,896 × 186,896
4. Step 4: Simplify right side
   85,819.75x = 34,930,114,816
5. Step 5: Solve for x
   x = 34,930,114,816/85,819.75
6. Step 6: Final answer
   x = 407,017.21