Finding the Third Proportional to 89,064 and 181,758

Step by Step Solution

1. Step 1: Write the proportion equation
   89,064 : 181,758 = 181,758 : x
2. Step 2: Convert to fraction form
   89,064/181,758 = 181,758/x
3. Step 3: Cross multiply
   89,064x = 181,758 × 181,758
4. Step 4: Simplify right side
   89,064x = 33,035,970,564
5. Step 5: Solve for x
   x = 33,035,970,564/89,064
6. Step 6: Final answer
   x = 370,923.95