Finding the Third Proportional to 96,667.50 and 214,071

Step by Step Solution

1. Step 1: Write the proportion equation
   96,667.50 : 214,071 = 214,071 : x
2. Step 2: Convert to fraction form
   96,667.50/214,071 = 214,071/x
3. Step 3: Cross multiply
   96,667.50x = 214,071 × 214,071
4. Step 4: Simplify right side
   96,667.50x = 45,826,393,041
5. Step 5: Solve for x
   x = 45,826,393,041/96,667.50
6. Step 6: Final answer
   x = 474,062.05