Finding the Third Proportional to 76,362 and 166,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,362 : 166,276.50 = 166,276.50 : x
2. Step 2: Convert to fraction form
   76,362/166,276.50 = 166,276.50/x
3. Step 3: Cross multiply
   76,362x = 166,276.50 × 166,276.50
4. Step 4: Simplify right side
   76,362x = 27,647,874,452.25
5. Step 5: Solve for x
   x = 27,647,874,452.25/76,362
6. Step 6: Final answer
   x = 362,063.26