Finding the Third Proportional to 69,291 and 111,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,291 : 111,586.50 = 111,586.50 : x
2. Step 2: Convert to fraction form
   69,291/111,586.50 = 111,586.50/x
3. Step 3: Cross multiply
   69,291x = 111,586.50 × 111,586.50
4. Step 4: Simplify right side
   69,291x = 12,451,546,982.25
5. Step 5: Solve for x
   x = 12,451,546,982.25/69,291
6. Step 6: Final answer
   x = 179,699.34