Finding the Third Proportional to 66,896 and 89,168

Step by Step Solution

1. Step 1: Write the proportion equation
   66,896 : 89,168 = 89,168 : x
2. Step 2: Convert to fraction form
   66,896/89,168 = 89,168/x
3. Step 3: Cross multiply
   66,896x = 89,168 × 89,168
4. Step 4: Simplify right side
   66,896x = 7,950,932,224
5. Step 5: Solve for x
   x = 7,950,932,224/66,896
6. Step 6: Final answer
   x = 118,855.12