Finding the Third Proportional to 112,946 and 178,667

Step by Step Solution

1. Step 1: Write the proportion equation
   112,946 : 178,667 = 178,667 : x
2. Step 2: Convert to fraction form
   112,946/178,667 = 178,667/x
3. Step 3: Cross multiply
   112,946x = 178,667 × 178,667
4. Step 4: Simplify right side
   112,946x = 31,921,896,889
5. Step 5: Solve for x
   x = 31,921,896,889/112,946
6. Step 6: Final answer
   x = 282,629.72