Finding the Third Proportional to 201,885 and 424,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,885 : 424,684.50 = 424,684.50 : x
2. Step 2: Convert to fraction form
   201,885/424,684.50 = 424,684.50/x
3. Step 3: Cross multiply
   201,885x = 424,684.50 × 424,684.50
4. Step 4: Simplify right side
   201,885x = 180,356,924,540.25
5. Step 5: Solve for x
   x = 180,356,924,540.25/201,885
6. Step 6: Final answer
   x = 893,364.66