Finding the Third Proportional to 71,386 and 111,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,386 : 111,031.50 = 111,031.50 : x
2. Step 2: Convert to fraction form
   71,386/111,031.50 = 111,031.50/x
3. Step 3: Cross multiply
   71,386x = 111,031.50 × 111,031.50
4. Step 4: Simplify right side
   71,386x = 12,327,993,992.25
5. Step 5: Solve for x
   x = 12,327,993,992.25/71,386
6. Step 6: Final answer
   x = 172,694.84