Finding the Third Proportional to 102,384 and 155,166

Step by Step Solution

1. Step 1: Write the proportion equation
   102,384 : 155,166 = 155,166 : x
2. Step 2: Convert to fraction form
   102,384/155,166 = 155,166/x
3. Step 3: Cross multiply
   102,384x = 155,166 × 155,166
4. Step 4: Simplify right side
   102,384x = 24,076,487,556
5. Step 5: Solve for x
   x = 24,076,487,556/102,384
6. Step 6: Final answer
   x = 235,158.69