Finding the Third Proportional to 102,381 and 155,003

Step by Step Solution

1. Step 1: Write the proportion equation
   102,381 : 155,003 = 155,003 : x
2. Step 2: Convert to fraction form
   102,381/155,003 = 155,003/x
3. Step 3: Cross multiply
   102,381x = 155,003 × 155,003
4. Step 4: Simplify right side
   102,381x = 24,025,930,009
5. Step 5: Solve for x
   x = 24,025,930,009/102,381
6. Step 6: Final answer
   x = 234,671.77