Finding the Third Proportional to 72,709.50 and 153,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,709.50 : 153,802.25 = 153,802.25 : x
2. Step 2: Convert to fraction form
   72,709.50/153,802.25 = 153,802.25/x
3. Step 3: Cross multiply
   72,709.50x = 153,802.25 × 153,802.25
4. Step 4: Simplify right side
   72,709.50x = 23,655,132,105.06
5. Step 5: Solve for x
   x = 23,655,132,105.06/72,709.50
6. Step 6: Final answer
   x = 325,337.57