Finding the Third Proportional to 90,510 and 193,041

Step by Step Solution

1. Step 1: Write the proportion equation
   90,510 : 193,041 = 193,041 : x
2. Step 2: Convert to fraction form
   90,510/193,041 = 193,041/x
3. Step 3: Cross multiply
   90,510x = 193,041 × 193,041
4. Step 4: Simplify right side
   90,510x = 37,264,827,681
5. Step 5: Solve for x
   x = 37,264,827,681/90,510
6. Step 6: Final answer
   x = 411,720.56