Finding the Third Proportional to 67,878 and 105,624

Step by Step Solution

1. Step 1: Write the proportion equation
   67,878 : 105,624 = 105,624 : x
2. Step 2: Convert to fraction form
   67,878/105,624 = 105,624/x
3. Step 3: Cross multiply
   67,878x = 105,624 × 105,624
4. Step 4: Simplify right side
   67,878x = 11,156,429,376
5. Step 5: Solve for x
   x = 11,156,429,376/67,878
6. Step 6: Final answer
   x = 164,360.02