Finding the Third Proportional to 125,642 and 194,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,642 : 194,295.50 = 194,295.50 : x
2. Step 2: Convert to fraction form
   125,642/194,295.50 = 194,295.50/x
3. Step 3: Cross multiply
   125,642x = 194,295.50 × 194,295.50
4. Step 4: Simplify right side
   125,642x = 37,750,741,320.25
5. Step 5: Solve for x
   x = 37,750,741,320.25/125,642
6. Step 6: Final answer
   x = 300,462.75