Finding the Third Proportional to 90,489 and 193,002

Step by Step Solution

1. Step 1: Write the proportion equation
   90,489 : 193,002 = 193,002 : x
2. Step 2: Convert to fraction form
   90,489/193,002 = 193,002/x
3. Step 3: Cross multiply
   90,489x = 193,002 × 193,002
4. Step 4: Simplify right side
   90,489x = 37,249,772,004
5. Step 5: Solve for x
   x = 37,249,772,004/90,489
6. Step 6: Final answer
   x = 411,649.73