Finding the Third Proportional to 125,262 and 194,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,262 : 194,257.50 = 194,257.50 : x
2. Step 2: Convert to fraction form
   125,262/194,257.50 = 194,257.50/x
3. Step 3: Cross multiply
   125,262x = 194,257.50 × 194,257.50
4. Step 4: Simplify right side
   125,262x = 37,735,976,306.25
5. Step 5: Solve for x
   x = 37,735,976,306.25/125,262
6. Step 6: Final answer
   x = 301,256.38