Finding the Third Proportional to 89,383.50 and 186,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,383.50 : 186,115.50 = 186,115.50 : x
2. Step 2: Convert to fraction form
   89,383.50/186,115.50 = 186,115.50/x
3. Step 3: Cross multiply
   89,383.50x = 186,115.50 × 186,115.50
4. Step 4: Simplify right side
   89,383.50x = 34,638,979,340.25
5. Step 5: Solve for x
   x = 34,638,979,340.25/89,383.50
6. Step 6: Final answer
   x = 387,532.14