Finding the Third Proportional to 201,924 and 424,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,924 : 424,609.50 = 424,609.50 : x
2. Step 2: Convert to fraction form
   201,924/424,609.50 = 424,609.50/x
3. Step 3: Cross multiply
   201,924x = 424,609.50 × 424,609.50
4. Step 4: Simplify right side
   201,924x = 180,293,227,490.25
5. Step 5: Solve for x
   x = 180,293,227,490.25/201,924
6. Step 6: Final answer
   x = 892,876.66