Finding the Third Proportional to 42,008 and 91,397

Step by Step Solution

1. Step 1: Write the proportion equation
   42,008 : 91,397 = 91,397 : x
2. Step 2: Convert to fraction form
   42,008/91,397 = 91,397/x
3. Step 3: Cross multiply
   42,008x = 91,397 × 91,397
4. Step 4: Simplify right side
   42,008x = 8,353,411,609
5. Step 5: Solve for x
   x = 8,353,411,609/42,008
6. Step 6: Final answer
   x = 198,852.88