Finding the Third Proportional to 71,666 and 111,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,666 : 111,194.50 = 111,194.50 : x
2. Step 2: Convert to fraction form
   71,666/111,194.50 = 111,194.50/x
3. Step 3: Cross multiply
   71,666x = 111,194.50 × 111,194.50
4. Step 4: Simplify right side
   71,666x = 12,364,216,830.25
5. Step 5: Solve for x
   x = 12,364,216,830.25/71,666
6. Step 6: Final answer
   x = 172,525.56