Finding the Third Proportional to 100,464 and 147,672

Step by Step Solution

1. Step 1: Write the proportion equation
   100,464 : 147,672 = 147,672 : x
2. Step 2: Convert to fraction form
   100,464/147,672 = 147,672/x
3. Step 3: Cross multiply
   100,464x = 147,672 × 147,672
4. Step 4: Simplify right side
   100,464x = 21,807,019,584
5. Step 5: Solve for x
   x = 21,807,019,584/100,464
6. Step 6: Final answer
   x = 217,063.02