Finding the Third Proportional to 76,578 and 112,200

Step by Step Solution

1. Step 1: Write the proportion equation
   76,578 : 112,200 = 112,200 : x
2. Step 2: Convert to fraction form
   76,578/112,200 = 112,200/x
3. Step 3: Cross multiply
   76,578x = 112,200 × 112,200
4. Step 4: Simplify right side
   76,578x = 12,588,840,000
5. Step 5: Solve for x
   x = 12,588,840,000/76,578
6. Step 6: Final answer
   x = 164,392.38