Finding the Third Proportional to 72,802 and 155,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,802 : 155,724.50 = 155,724.50 : x
2. Step 2: Convert to fraction form
   72,802/155,724.50 = 155,724.50/x
3. Step 3: Cross multiply
   72,802x = 155,724.50 × 155,724.50
4. Step 4: Simplify right side
   72,802x = 24,250,119,900.25
5. Step 5: Solve for x
   x = 24,250,119,900.25/72,802
6. Step 6: Final answer
   x = 333,096.89