Finding the Third Proportional to 232,258.50 and 327,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   232,258.50 : 327,061.50 = 327,061.50 : x
2. Step 2: Convert to fraction form
   232,258.50/327,061.50 = 327,061.50/x
3. Step 3: Cross multiply
   232,258.50x = 327,061.50 × 327,061.50
4. Step 4: Simplify right side
   232,258.50x = 106,969,224,782.25
5. Step 5: Solve for x
   x = 106,969,224,782.25/232,258.50
6. Step 6: Final answer
   x = 460,561.08