Finding the Third Proportional to 126,001.50 and 194,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,001.50 : 194,956.50 = 194,956.50 : x
2. Step 2: Convert to fraction form
   126,001.50/194,956.50 = 194,956.50/x
3. Step 3: Cross multiply
   126,001.50x = 194,956.50 × 194,956.50
4. Step 4: Simplify right side
   126,001.50x = 38,008,036,892.25
5. Step 5: Solve for x
   x = 38,008,036,892.25/126,001.50
6. Step 6: Final answer
   x = 301,647.50