Finding the Third Proportional to 125,409 and 194,263.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,409 : 194,263.50 = 194,263.50 : x
2. Step 2: Convert to fraction form
   125,409/194,263.50 = 194,263.50/x
3. Step 3: Cross multiply
   125,409x = 194,263.50 × 194,263.50
4. Step 4: Simplify right side
   125,409x = 37,738,307,432.25
5. Step 5: Solve for x
   x = 37,738,307,432.25/125,409
6. Step 6: Final answer
   x = 300,921.84