Finding the Third Proportional to 81,506 and 166,468

Step by Step Solution

1. Step 1: Write the proportion equation
   81,506 : 166,468 = 166,468 : x
2. Step 2: Convert to fraction form
   81,506/166,468 = 166,468/x
3. Step 3: Cross multiply
   81,506x = 166,468 × 166,468
4. Step 4: Simplify right side
   81,506x = 27,711,595,024
5. Step 5: Solve for x
   x = 27,711,595,024/81,506
6. Step 6: Final answer
   x = 339,994.54