Finding the Third Proportional to 89,264.25 and 185,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,264.25 : 185,926.50 = 185,926.50 : x
2. Step 2: Convert to fraction form
   89,264.25/185,926.50 = 185,926.50/x
3. Step 3: Cross multiply
   89,264.25x = 185,926.50 × 185,926.50
4. Step 4: Simplify right side
   89,264.25x = 34,568,663,402.25
5. Step 5: Solve for x
   x = 34,568,663,402.25/89,264.25
6. Step 6: Final answer
   x = 387,262.13