Finding the Third Proportional to 162,117.50 and 258,986

Step by Step Solution

1. Step 1: Write the proportion equation
   162,117.50 : 258,986 = 258,986 : x
2. Step 2: Convert to fraction form
   162,117.50/258,986 = 258,986/x
3. Step 3: Cross multiply
   162,117.50x = 258,986 × 258,986
4. Step 4: Simplify right side
   162,117.50x = 67,073,748,196
5. Step 5: Solve for x
   x = 67,073,748,196/162,117.50
6. Step 6: Final answer
   x = 413,735.40