Finding the Third Proportional to 71,566 and 116,441

Step by Step Solution

1. Step 1: Write the proportion equation
   71,566 : 116,441 = 116,441 : x
2. Step 2: Convert to fraction form
   71,566/116,441 = 116,441/x
3. Step 3: Cross multiply
   71,566x = 116,441 × 116,441
4. Step 4: Simplify right side
   71,566x = 13,558,506,481
5. Step 5: Solve for x
   x = 13,558,506,481/71,566
6. Step 6: Final answer
   x = 189,454.58