Finding the Third Proportional to 150,948 and 323,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,948 : 323,032.50 = 323,032.50 : x
2. Step 2: Convert to fraction form
   150,948/323,032.50 = 323,032.50/x
3. Step 3: Cross multiply
   150,948x = 323,032.50 × 323,032.50
4. Step 4: Simplify right side
   150,948x = 104,349,996,056.25
5. Step 5: Solve for x
   x = 104,349,996,056.25/150,948
6. Step 6: Final answer
   x = 691,297.64