Finding the Third Proportional to 125,105.50 and 194,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,105.50 : 194,005.50 = 194,005.50 : x
2. Step 2: Convert to fraction form
   125,105.50/194,005.50 = 194,005.50/x
3. Step 3: Cross multiply
   125,105.50x = 194,005.50 × 194,005.50
4. Step 4: Simplify right side
   125,105.50x = 37,638,134,030.25
5. Step 5: Solve for x
   x = 37,638,134,030.25/125,105.50
6. Step 6: Final answer
   x = 300,851.15