Finding the Third Proportional to 125,853 and 194,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,853 : 194,434.50 = 194,434.50 : x
2. Step 2: Convert to fraction form
   125,853/194,434.50 = 194,434.50/x
3. Step 3: Cross multiply
   125,853x = 194,434.50 × 194,434.50
4. Step 4: Simplify right side
   125,853x = 37,804,774,790.25
5. Step 5: Solve for x
   x = 37,804,774,790.25/125,853
6. Step 6: Final answer
   x = 300,388.35