Finding the Third Proportional to 71,370 and 111,007

Step by Step Solution

1. Step 1: Write the proportion equation
   71,370 : 111,007 = 111,007 : x
2. Step 2: Convert to fraction form
   71,370/111,007 = 111,007/x
3. Step 3: Cross multiply
   71,370x = 111,007 × 111,007
4. Step 4: Simplify right side
   71,370x = 12,322,554,049
5. Step 5: Solve for x
   x = 12,322,554,049/71,370
6. Step 6: Final answer
   x = 172,657.34