Finding the Third Proportional to 72,784 and 109,270

Step by Step Solution

1. Step 1: Write the proportion equation
   72,784 : 109,270 = 109,270 : x
2. Step 2: Convert to fraction form
   72,784/109,270 = 109,270/x
3. Step 3: Cross multiply
   72,784x = 109,270 × 109,270
4. Step 4: Simplify right side
   72,784x = 11,939,932,900
5. Step 5: Solve for x
   x = 11,939,932,900/72,784
6. Step 6: Final answer
   x = 164,046.12