Finding the Third Proportional to 94,542 and 199,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,542 : 199,411.50 = 199,411.50 : x
2. Step 2: Convert to fraction form
   94,542/199,411.50 = 199,411.50/x
3. Step 3: Cross multiply
   94,542x = 199,411.50 × 199,411.50
4. Step 4: Simplify right side
   94,542x = 39,764,946,332.25
5. Step 5: Solve for x
   x = 39,764,946,332.25/94,542
6. Step 6: Final answer
   x = 420,606.15