Finding the Third Proportional to 77,803.50 and 158,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,803.50 : 158,458.50 = 158,458.50 : x
2. Step 2: Convert to fraction form
   77,803.50/158,458.50 = 158,458.50/x
3. Step 3: Cross multiply
   77,803.50x = 158,458.50 × 158,458.50
4. Step 4: Simplify right side
   77,803.50x = 25,109,096,222.25
5. Step 5: Solve for x
   x = 25,109,096,222.25/77,803.50
6. Step 6: Final answer
   x = 322,724.51