Finding the Third Proportional to 100,672 and 217,004

Step by Step Solution

1. Step 1: Write the proportion equation
   100,672 : 217,004 = 217,004 : x
2. Step 2: Convert to fraction form
   100,672/217,004 = 217,004/x
3. Step 3: Cross multiply
   100,672x = 217,004 × 217,004
4. Step 4: Simplify right side
   100,672x = 47,090,736,016
5. Step 5: Solve for x
   x = 47,090,736,016/100,672
6. Step 6: Final answer
   x = 467,763.99