Finding the Third Proportional to 125,862 and 194,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,862 : 194,449.50 = 194,449.50 : x
2. Step 2: Convert to fraction form
   125,862/194,449.50 = 194,449.50/x
3. Step 3: Cross multiply
   125,862x = 194,449.50 × 194,449.50
4. Step 4: Simplify right side
   125,862x = 37,810,608,050.25
5. Step 5: Solve for x
   x = 37,810,608,050.25/125,862
6. Step 6: Final answer
   x = 300,413.21