Finding the Third Proportional to 89,480 and 188,168

Step by Step Solution

1. Step 1: Write the proportion equation
   89,480 : 188,168 = 188,168 : x
2. Step 2: Convert to fraction form
   89,480/188,168 = 188,168/x
3. Step 3: Cross multiply
   89,480x = 188,168 × 188,168
4. Step 4: Simplify right side
   89,480x = 35,407,196,224
5. Step 5: Solve for x
   x = 35,407,196,224/89,480
6. Step 6: Final answer
   x = 395,699.56