Finding the Third Proportional to 125,333.50 and 194,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,333.50 : 194,164.50 = 194,164.50 : x
2. Step 2: Convert to fraction form
   125,333.50/194,164.50 = 194,164.50/x
3. Step 3: Cross multiply
   125,333.50x = 194,164.50 × 194,164.50
4. Step 4: Simplify right side
   125,333.50x = 37,699,853,060.25
5. Step 5: Solve for x
   x = 37,699,853,060.25/125,333.50
6. Step 6: Final answer
   x = 300,796.30