Finding the Third Proportional to 89,163 and 185,798

Step by Step Solution

1. Step 1: Write the proportion equation
   89,163 : 185,798 = 185,798 : x
2. Step 2: Convert to fraction form
   89,163/185,798 = 185,798/x
3. Step 3: Cross multiply
   89,163x = 185,798 × 185,798
4. Step 4: Simplify right side
   89,163x = 34,520,896,804
5. Step 5: Solve for x
   x = 34,520,896,804/89,163
6. Step 6: Final answer
   x = 387,166.17