Finding the Third Proportional to 91,588 and 193,016

Step by Step Solution

1. Step 1: Write the proportion equation
   91,588 : 193,016 = 193,016 : x
2. Step 2: Convert to fraction form
   91,588/193,016 = 193,016/x
3. Step 3: Cross multiply
   91,588x = 193,016 × 193,016
4. Step 4: Simplify right side
   91,588x = 37,255,176,256
5. Step 5: Solve for x
   x = 37,255,176,256/91,588
6. Step 6: Final answer
   x = 406,769.19