Finding the Third Proportional to 71,698 and 111,381

Step by Step Solution

1. Step 1: Write the proportion equation
   71,698 : 111,381 = 111,381 : x
2. Step 2: Convert to fraction form
   71,698/111,381 = 111,381/x
3. Step 3: Cross multiply
   71,698x = 111,381 × 111,381
4. Step 4: Simplify right side
   71,698x = 12,405,727,161
5. Step 5: Solve for x
   x = 12,405,727,161/71,698
6. Step 6: Final answer
   x = 173,027.52