Finding the Third Proportional to 89,406 and 186,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,406 : 186,086.25 = 186,086.25 : x
2. Step 2: Convert to fraction form
   89,406/186,086.25 = 186,086.25/x
3. Step 3: Cross multiply
   89,406x = 186,086.25 × 186,086.25
4. Step 4: Simplify right side
   89,406x = 34,628,092,439.06
5. Step 5: Solve for x
   x = 34,628,092,439.06/89,406
6. Step 6: Final answer
   x = 387,312.85