Finding the Third Proportional to 193,096.50 and 420,519

Step by Step Solution

1. Step 1: Write the proportion equation
   193,096.50 : 420,519 = 420,519 : x
2. Step 2: Convert to fraction form
   193,096.50/420,519 = 420,519/x
3. Step 3: Cross multiply
   193,096.50x = 420,519 × 420,519
4. Step 4: Simplify right side
   193,096.50x = 176,836,229,361
5. Step 5: Solve for x
   x = 176,836,229,361/193,096.50
6. Step 6: Final answer
   x = 915,792.00