Finding the Third Proportional to 165,563 and 256,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,563 : 256,302.50 = 256,302.50 : x
2. Step 2: Convert to fraction form
   165,563/256,302.50 = 256,302.50/x
3. Step 3: Cross multiply
   165,563x = 256,302.50 × 256,302.50
4. Step 4: Simplify right side
   165,563x = 65,690,971,506.25
5. Step 5: Solve for x
   x = 65,690,971,506.25/165,563
6. Step 6: Final answer
   x = 396,773.26