Finding the Third Proportional to 165,099 and 256,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,099 : 256,294.50 = 256,294.50 : x
2. Step 2: Convert to fraction form
   165,099/256,294.50 = 256,294.50/x
3. Step 3: Cross multiply
   165,099x = 256,294.50 × 256,294.50
4. Step 4: Simplify right side
   165,099x = 65,686,870,730.25
5. Step 5: Solve for x
   x = 65,686,870,730.25/165,099
6. Step 6: Final answer
   x = 397,863.53