Finding the Third Proportional to 165,754 and 254,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,754 : 254,923.50 = 254,923.50 : x
2. Step 2: Convert to fraction form
   165,754/254,923.50 = 254,923.50/x
3. Step 3: Cross multiply
   165,754x = 254,923.50 × 254,923.50
4. Step 4: Simplify right side
   165,754x = 64,985,990,852.25
5. Step 5: Solve for x
   x = 64,985,990,852.25/165,754
6. Step 6: Final answer
   x = 392,062.88