Finding the Third Proportional to 100,970 and 155,666

Step by Step Solution

1. Step 1: Write the proportion equation
   100,970 : 155,666 = 155,666 : x
2. Step 2: Convert to fraction form
   100,970/155,666 = 155,666/x
3. Step 3: Cross multiply
   100,970x = 155,666 × 155,666
4. Step 4: Simplify right side
   100,970x = 24,231,903,556
5. Step 5: Solve for x
   x = 24,231,903,556/100,970
6. Step 6: Final answer
   x = 239,991.12