Finding the Third Proportional to 88,665 and 194,556

Step by Step Solution

1. Step 1: Write the proportion equation
   88,665 : 194,556 = 194,556 : x
2. Step 2: Convert to fraction form
   88,665/194,556 = 194,556/x
3. Step 3: Cross multiply
   88,665x = 194,556 × 194,556
4. Step 4: Simplify right side
   88,665x = 37,852,037,136
5. Step 5: Solve for x
   x = 37,852,037,136/88,665
6. Step 6: Final answer
   x = 426,910.70