Finding the Third Proportional to 76,294.50 and 166,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,294.50 : 166,145.25 = 166,145.25 : x
2. Step 2: Convert to fraction form
   76,294.50/166,145.25 = 166,145.25/x
3. Step 3: Cross multiply
   76,294.50x = 166,145.25 × 166,145.25
4. Step 4: Simplify right side
   76,294.50x = 27,604,244,097.56
5. Step 5: Solve for x
   x = 27,604,244,097.56/76,294.50
6. Step 6: Final answer
   x = 361,811.72