Finding the Third Proportional to 100,472 and 147,684

Step by Step Solution

1. Step 1: Write the proportion equation
   100,472 : 147,684 = 147,684 : x
2. Step 2: Convert to fraction form
   100,472/147,684 = 147,684/x
3. Step 3: Cross multiply
   100,472x = 147,684 × 147,684
4. Step 4: Simplify right side
   100,472x = 21,810,563,856
5. Step 5: Solve for x
   x = 21,810,563,856/100,472
6. Step 6: Final answer
   x = 217,081.02