Finding the Third Proportional to 72,264 and 111,214

Step by Step Solution

1. Step 1: Write the proportion equation
   72,264 : 111,214 = 111,214 : x
2. Step 2: Convert to fraction form
   72,264/111,214 = 111,214/x
3. Step 3: Cross multiply
   72,264x = 111,214 × 111,214
4. Step 4: Simplify right side
   72,264x = 12,368,553,796
5. Step 5: Solve for x
   x = 12,368,553,796/72,264
6. Step 6: Final answer
   x = 171,157.89