Finding the Third Proportional to 72,778.50 and 151,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778.50 : 151,780.50 = 151,780.50 : x
2. Step 2: Convert to fraction form
   72,778.50/151,780.50 = 151,780.50/x
3. Step 3: Cross multiply
   72,778.50x = 151,780.50 × 151,780.50
4. Step 4: Simplify right side
   72,778.50x = 23,037,320,180.25
5. Step 5: Solve for x
   x = 23,037,320,180.25/72,778.50
6. Step 6: Final answer
   x = 316,540.19