Finding the Third Proportional to 201,141 and 298,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,141 : 298,229.50 = 298,229.50 : x
2. Step 2: Convert to fraction form
   201,141/298,229.50 = 298,229.50/x
3. Step 3: Cross multiply
   201,141x = 298,229.50 × 298,229.50
4. Step 4: Simplify right side
   201,141x = 88,940,834,670.25
5. Step 5: Solve for x
   x = 88,940,834,670.25/201,141
6. Step 6: Final answer
   x = 442,181.53