Finding the Third Proportional to 91,302 and 199,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,302 : 199,213.50 = 199,213.50 : x
2. Step 2: Convert to fraction form
   91,302/199,213.50 = 199,213.50/x
3. Step 3: Cross multiply
   91,302x = 199,213.50 × 199,213.50
4. Step 4: Simplify right side
   91,302x = 39,686,018,582.25
5. Step 5: Solve for x
   x = 39,686,018,582.25/91,302
6. Step 6: Final answer
   x = 434,667.57