Finding the Third Proportional to 90,968 and 191,361

Step by Step Solution

1. Step 1: Write the proportion equation
   90,968 : 191,361 = 191,361 : x
2. Step 2: Convert to fraction form
   90,968/191,361 = 191,361/x
3. Step 3: Cross multiply
   90,968x = 191,361 × 191,361
4. Step 4: Simplify right side
   90,968x = 36,619,032,321
5. Step 5: Solve for x
   x = 36,619,032,321/90,968
6. Step 6: Final answer
   x = 402,548.50