Finding the Third Proportional to 71,306 and 113,007

Step by Step Solution

1. Step 1: Write the proportion equation
   71,306 : 113,007 = 113,007 : x
2. Step 2: Convert to fraction form
   71,306/113,007 = 113,007/x
3. Step 3: Cross multiply
   71,306x = 113,007 × 113,007
4. Step 4: Simplify right side
   71,306x = 12,770,582,049
5. Step 5: Solve for x
   x = 12,770,582,049/71,306
6. Step 6: Final answer
   x = 179,095.48