Finding the Third Proportional to 201,881.50 and 424,665

Step by Step Solution

1. Step 1: Write the proportion equation
   201,881.50 : 424,665 = 424,665 : x
2. Step 2: Convert to fraction form
   201,881.50/424,665 = 424,665/x
3. Step 3: Cross multiply
   201,881.50x = 424,665 × 424,665
4. Step 4: Simplify right side
   201,881.50x = 180,340,362,225
5. Step 5: Solve for x
   x = 180,340,362,225/201,881.50
6. Step 6: Final answer
   x = 893,298.11