Finding the Third Proportional to 90,513 and 194,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,513 : 194,827.50 = 194,827.50 : x
2. Step 2: Convert to fraction form
   90,513/194,827.50 = 194,827.50/x
3. Step 3: Cross multiply
   90,513x = 194,827.50 × 194,827.50
4. Step 4: Simplify right side
   90,513x = 37,957,754,756.25
5. Step 5: Solve for x
   x = 37,957,754,756.25/90,513
6. Step 6: Final answer
   x = 419,362.46