Finding the Third Proportional to 125,337 and 194,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,337 : 194,167.50 = 194,167.50 : x
2. Step 2: Convert to fraction form
   125,337/194,167.50 = 194,167.50/x
3. Step 3: Cross multiply
   125,337x = 194,167.50 × 194,167.50
4. Step 4: Simplify right side
   125,337x = 37,701,018,056.25
5. Step 5: Solve for x
   x = 37,701,018,056.25/125,337
6. Step 6: Final answer
   x = 300,797.20