Finding the Third Proportional to 90,498 and 193,014

Step by Step Solution

1. Step 1: Write the proportion equation
   90,498 : 193,014 = 193,014 : x
2. Step 2: Convert to fraction form
   90,498/193,014 = 193,014/x
3. Step 3: Cross multiply
   90,498x = 193,014 × 193,014
4. Step 4: Simplify right side
   90,498x = 37,254,404,196
5. Step 5: Solve for x
   x = 37,254,404,196/90,498
6. Step 6: Final answer
   x = 411,659.97