Finding the Third Proportional to 112,134 and 178,314

Step by Step Solution

1. Step 1: Write the proportion equation
   112,134 : 178,314 = 178,314 : x
2. Step 2: Convert to fraction form
   112,134/178,314 = 178,314/x
3. Step 3: Cross multiply
   112,134x = 178,314 × 178,314
4. Step 4: Simplify right side
   112,134x = 31,795,882,596
5. Step 5: Solve for x
   x = 31,795,882,596/112,134
6. Step 6: Final answer
   x = 283,552.56