Finding the Third Proportional to 89,184 and 138,168

Step by Step Solution

1. Step 1: Write the proportion equation
   89,184 : 138,168 = 138,168 : x
2. Step 2: Convert to fraction form
   89,184/138,168 = 138,168/x
3. Step 3: Cross multiply
   89,184x = 138,168 × 138,168
4. Step 4: Simplify right side
   89,184x = 19,090,396,224
5. Step 5: Solve for x
   x = 19,090,396,224/89,184
6. Step 6: Final answer
   x = 214,056.29