Finding the Third Proportional to 162,184 and 258,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,184 : 258,265.50 = 258,265.50 : x
2. Step 2: Convert to fraction form
   162,184/258,265.50 = 258,265.50/x
3. Step 3: Cross multiply
   162,184x = 258,265.50 × 258,265.50
4. Step 4: Simplify right side
   162,184x = 66,701,068,490.25
5. Step 5: Solve for x
   x = 66,701,068,490.25/162,184
6. Step 6: Final answer
   x = 411,267.87