Finding the Third Proportional to 92,364 and 199,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,364 : 199,462.50 = 199,462.50 : x
2. Step 2: Convert to fraction form
   92,364/199,462.50 = 199,462.50/x
3. Step 3: Cross multiply
   92,364x = 199,462.50 × 199,462.50
4. Step 4: Simplify right side
   92,364x = 39,785,288,906.25
5. Step 5: Solve for x
   x = 39,785,288,906.25/92,364
6. Step 6: Final answer
   x = 430,744.54