Finding the Third Proportional to 137,739 and 194,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,739 : 194,965.50 = 194,965.50 : x
2. Step 2: Convert to fraction form
   137,739/194,965.50 = 194,965.50/x
3. Step 3: Cross multiply
   137,739x = 194,965.50 × 194,965.50
4. Step 4: Simplify right side
   137,739x = 38,011,546,190.25
5. Step 5: Solve for x
   x = 38,011,546,190.25/137,739
6. Step 6: Final answer
   x = 275,967.93