Finding the Third Proportional to 90,496 and 193,013

Step by Step Solution

1. Step 1: Write the proportion equation
   90,496 : 193,013 = 193,013 : x
2. Step 2: Convert to fraction form
   90,496/193,013 = 193,013/x
3. Step 3: Cross multiply
   90,496x = 193,013 × 193,013
4. Step 4: Simplify right side
   90,496x = 37,254,018,169
5. Step 5: Solve for x
   x = 37,254,018,169/90,496
6. Step 6: Final answer
   x = 411,664.80