Finding the Third Proportional to 89,166.75 and 181,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,166.75 : 181,446.50 = 181,446.50 : x
2. Step 2: Convert to fraction form
   89,166.75/181,446.50 = 181,446.50/x
3. Step 3: Cross multiply
   89,166.75x = 181,446.50 × 181,446.50
4. Step 4: Simplify right side
   89,166.75x = 32,922,832,362.25
5. Step 5: Solve for x
   x = 32,922,832,362.25/89,166.75
6. Step 6: Final answer
   x = 369,227.68