Finding the Third Proportional to 193,921 and 300,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,921 : 300,097.50 = 300,097.50 : x
2. Step 2: Convert to fraction form
   193,921/300,097.50 = 300,097.50/x
3. Step 3: Cross multiply
   193,921x = 300,097.50 × 300,097.50
4. Step 4: Simplify right side
   193,921x = 90,058,509,506.25
5. Step 5: Solve for x
   x = 90,058,509,506.25/193,921
6. Step 6: Final answer
   x = 464,408.24