Finding the Third Proportional to 112,536 and 178,200

Step by Step Solution

1. Step 1: Write the proportion equation
   112,536 : 178,200 = 178,200 : x
2. Step 2: Convert to fraction form
   112,536/178,200 = 178,200/x
3. Step 3: Cross multiply
   112,536x = 178,200 × 178,200
4. Step 4: Simplify right side
   112,536x = 31,755,240,000
5. Step 5: Solve for x
   x = 31,755,240,000/112,536
6. Step 6: Final answer
   x = 282,178.50