Finding the Third Proportional to 111,050 and 178,840

Step by Step Solution

1. Step 1: Write the proportion equation
   111,050 : 178,840 = 178,840 : x
2. Step 2: Convert to fraction form
   111,050/178,840 = 178,840/x
3. Step 3: Cross multiply
   111,050x = 178,840 × 178,840
4. Step 4: Simplify right side
   111,050x = 31,983,745,600
5. Step 5: Solve for x
   x = 31,983,745,600/111,050
6. Step 6: Final answer
   x = 288,012.12