Finding the Third Proportional to 112,754 and 178,406

Step by Step Solution

1. Step 1: Write the proportion equation
   112,754 : 178,406 = 178,406 : x
2. Step 2: Convert to fraction form
   112,754/178,406 = 178,406/x
3. Step 3: Cross multiply
   112,754x = 178,406 × 178,406
4. Step 4: Simplify right side
   112,754x = 31,828,700,836
5. Step 5: Solve for x
   x = 31,828,700,836/112,754
6. Step 6: Final answer
   x = 282,284.45