Finding the Third Proportional to 189,912 and 300,724

Step by Step Solution

1. Step 1: Write the proportion equation
   189,912 : 300,724 = 300,724 : x
2. Step 2: Convert to fraction form
   189,912/300,724 = 300,724/x
3. Step 3: Cross multiply
   189,912x = 300,724 × 300,724
4. Step 4: Simplify right side
   189,912x = 90,434,924,176
5. Step 5: Solve for x
   x = 90,434,924,176/189,912
6. Step 6: Final answer
   x = 476,193.84