Finding the Third Proportional to 137,772 and 194,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,772 : 194,998.50 = 194,998.50 : x
2. Step 2: Convert to fraction form
   137,772/194,998.50 = 194,998.50/x
3. Step 3: Cross multiply
   137,772x = 194,998.50 × 194,998.50
4. Step 4: Simplify right side
   137,772x = 38,024,415,002.25
5. Step 5: Solve for x
   x = 38,024,415,002.25/137,772
6. Step 6: Final answer
   x = 275,995.23