Finding the Third Proportional to 125,350 and 194,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,350 : 194,188.50 = 194,188.50 : x
2. Step 2: Convert to fraction form
   125,350/194,188.50 = 194,188.50/x
3. Step 3: Cross multiply
   125,350x = 194,188.50 × 194,188.50
4. Step 4: Simplify right side
   125,350x = 37,709,173,532.25
5. Step 5: Solve for x
   x = 37,709,173,532.25/125,350
6. Step 6: Final answer
   x = 300,831.06