Finding the Third Proportional to 201,852 and 424,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,852 : 424,615.50 = 424,615.50 : x
2. Step 2: Convert to fraction form
   201,852/424,615.50 = 424,615.50/x
3. Step 3: Cross multiply
   201,852x = 424,615.50 × 424,615.50
4. Step 4: Simplify right side
   201,852x = 180,298,322,840.25
5. Step 5: Solve for x
   x = 180,298,322,840.25/201,852
6. Step 6: Final answer
   x = 893,220.39