Finding the Third Proportional to 101,692 and 155,564

Step by Step Solution

1. Step 1: Write the proportion equation
   101,692 : 155,564 = 155,564 : x
2. Step 2: Convert to fraction form
   101,692/155,564 = 155,564/x
3. Step 3: Cross multiply
   101,692x = 155,564 × 155,564
4. Step 4: Simplify right side
   101,692x = 24,200,158,096
5. Step 5: Solve for x
   x = 24,200,158,096/101,692
6. Step 6: Final answer
   x = 237,975.04