Finding the Third Proportional to 125,212.50 and 194,002.88

Step by Step Solution

1. Step 1: Write the proportion equation
   125,212.50 : 194,002.88 = 194,002.88 : x
2. Step 2: Convert to fraction form
   125,212.50/194,002.88 = 194,002.88/x
3. Step 3: Cross multiply
   125,212.50x = 194,002.88 × 194,002.88
4. Step 4: Simplify right side
   125,212.50x = 37,637,115,508.27
5. Step 5: Solve for x
   x = 37,637,115,508.27/125,212.50
6. Step 6: Final answer
   x = 300,585.93