Finding the Third Proportional to 77,778 and 166,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,778 : 166,216.50 = 166,216.50 : x
2. Step 2: Convert to fraction form
   77,778/166,216.50 = 166,216.50/x
3. Step 3: Cross multiply
   77,778x = 166,216.50 × 166,216.50
4. Step 4: Simplify right side
   77,778x = 27,627,924,872.25
5. Step 5: Solve for x
   x = 27,627,924,872.25/77,778
6. Step 6: Final answer
   x = 355,215.16