Finding the Third Proportional to 101,739 and 212,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,739 : 212,771.50 = 212,771.50 : x
2. Step 2: Convert to fraction form
   101,739/212,771.50 = 212,771.50/x
3. Step 3: Cross multiply
   101,739x = 212,771.50 × 212,771.50
4. Step 4: Simplify right side
   101,739x = 45,271,711,212.25
5. Step 5: Solve for x
   x = 45,271,711,212.25/101,739
6. Step 6: Final answer
   x = 444,978.93