Finding the Third Proportional to 76,922 and 166,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,922 : 166,145.50 = 166,145.50 : x
2. Step 2: Convert to fraction form
   76,922/166,145.50 = 166,145.50/x
3. Step 3: Cross multiply
   76,922x = 166,145.50 × 166,145.50
4. Step 4: Simplify right side
   76,922x = 27,604,327,170.25
5. Step 5: Solve for x
   x = 27,604,327,170.25/76,922
6. Step 6: Final answer
   x = 358,861.28