Finding the Third Proportional to 125,172 and 194,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,172 : 194,080.50 = 194,080.50 : x
2. Step 2: Convert to fraction form
   125,172/194,080.50 = 194,080.50/x
3. Step 3: Cross multiply
   125,172x = 194,080.50 × 194,080.50
4. Step 4: Simplify right side
   125,172x = 37,667,240,480.25
5. Step 5: Solve for x
   x = 37,667,240,480.25/125,172
6. Step 6: Final answer
   x = 300,923.85