Finding the Third Proportional to 77,256 and 159,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,256 : 159,475.50 = 159,475.50 : x
2. Step 2: Convert to fraction form
   77,256/159,475.50 = 159,475.50/x
3. Step 3: Cross multiply
   77,256x = 159,475.50 × 159,475.50
4. Step 4: Simplify right side
   77,256x = 25,432,435,100.25
5. Step 5: Solve for x
   x = 25,432,435,100.25/77,256
6. Step 6: Final answer
   x = 329,196.89