Finding the Third Proportional to 201,541.50 and 301,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,541.50 : 301,258.50 = 301,258.50 : x
2. Step 2: Convert to fraction form
   201,541.50/301,258.50 = 301,258.50/x
3. Step 3: Cross multiply
   201,541.50x = 301,258.50 × 301,258.50
4. Step 4: Simplify right side
   201,541.50x = 90,756,683,822.25
5. Step 5: Solve for x
   x = 90,756,683,822.25/201,541.50
6. Step 6: Final answer
   x = 450,312.63