Finding the Third Proportional to 162,378 and 254,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,378 : 254,785.50 = 254,785.50 : x
2. Step 2: Convert to fraction form
   162,378/254,785.50 = 254,785.50/x
3. Step 3: Cross multiply
   162,378x = 254,785.50 × 254,785.50
4. Step 4: Simplify right side
   162,378x = 64,915,651,010.25
5. Step 5: Solve for x
   x = 64,915,651,010.25/162,378
6. Step 6: Final answer
   x = 399,781.07