Finding the Third Proportional to 105,375 and 201,030

Step by Step Solution

1. Step 1: Write the proportion equation
   105,375 : 201,030 = 201,030 : x
2. Step 2: Convert to fraction form
   105,375/201,030 = 201,030/x
3. Step 3: Cross multiply
   105,375x = 201,030 × 201,030
4. Step 4: Simplify right side
   105,375x = 40,413,060,900
5. Step 5: Solve for x
   x = 40,413,060,900/105,375
6. Step 6: Final answer
   x = 383,516.59