Finding the Third Proportional to 102,404 and 155,038

Step by Step Solution

1. Step 1: Write the proportion equation
   102,404 : 155,038 = 155,038 : x
2. Step 2: Convert to fraction form
   102,404/155,038 = 155,038/x
3. Step 3: Cross multiply
   102,404x = 155,038 × 155,038
4. Step 4: Simplify right side
   102,404x = 24,036,781,444
5. Step 5: Solve for x
   x = 24,036,781,444/102,404
6. Step 6: Final answer
   x = 234,725.02