Finding the Third Proportional to 72,102 and 154,168

Step by Step Solution

1. Step 1: Write the proportion equation
   72,102 : 154,168 = 154,168 : x
2. Step 2: Convert to fraction form
   72,102/154,168 = 154,168/x
3. Step 3: Cross multiply
   72,102x = 154,168 × 154,168
4. Step 4: Simplify right side
   72,102x = 23,767,772,224
5. Step 5: Solve for x
   x = 23,767,772,224/72,102
6. Step 6: Final answer
   x = 329,640.96