Finding the Third Proportional to 46,176 and 100,672

Step by Step Solution

1. Step 1: Write the proportion equation
   46,176 : 100,672 = 100,672 : x
2. Step 2: Convert to fraction form
   46,176/100,672 = 100,672/x
3. Step 3: Cross multiply
   46,176x = 100,672 × 100,672
4. Step 4: Simplify right side
   46,176x = 10,134,851,584
5. Step 5: Solve for x
   x = 10,134,851,584/46,176
6. Step 6: Final answer
   x = 219,483.10