Finding the Third Proportional to 71,666 and 107,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,666 : 107,486.50 = 107,486.50 : x
2. Step 2: Convert to fraction form
   71,666/107,486.50 = 107,486.50/x
3. Step 3: Cross multiply
   71,666x = 107,486.50 × 107,486.50
4. Step 4: Simplify right side
   71,666x = 11,553,347,682.25
5. Step 5: Solve for x
   x = 11,553,347,682.25/71,666
6. Step 6: Final answer
   x = 161,211.00