Finding the Third Proportional to 165,761 and 254,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,761 : 254,365.50 = 254,365.50 : x
2. Step 2: Convert to fraction form
   165,761/254,365.50 = 254,365.50/x
3. Step 3: Cross multiply
   165,761x = 254,365.50 × 254,365.50
4. Step 4: Simplify right side
   165,761x = 64,701,807,590.25
5. Step 5: Solve for x
   x = 64,701,807,590.25/165,761
6. Step 6: Final answer
   x = 390,331.91