Finding the Third Proportional to 154,602 and 325,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   154,602 : 325,802.25 = 325,802.25 : x
2. Step 2: Convert to fraction form
   154,602/325,802.25 = 325,802.25/x
3. Step 3: Cross multiply
   154,602x = 325,802.25 × 325,802.25
4. Step 4: Simplify right side
   154,602x = 106,147,106,105.06
5. Step 5: Solve for x
   x = 106,147,106,105.06/154,602
6. Step 6: Final answer
   x = 686,583.01