Finding the Third Proportional to 258,150 and 362,890

Step by Step Solution

1. Step 1: Write the proportion equation
   258,150 : 362,890 = 362,890 : x
2. Step 2: Convert to fraction form
   258,150/362,890 = 362,890/x
3. Step 3: Cross multiply
   258,150x = 362,890 × 362,890
4. Step 4: Simplify right side
   258,150x = 131,689,152,100
5. Step 5: Solve for x
   x = 131,689,152,100/258,150
6. Step 6: Final answer
   x = 510,126.48