Finding the Third Proportional to 189,190.50 and 407,082

Step by Step Solution

1. Step 1: Write the proportion equation
   189,190.50 : 407,082 = 407,082 : x
2. Step 2: Convert to fraction form
   189,190.50/407,082 = 407,082/x
3. Step 3: Cross multiply
   189,190.50x = 407,082 × 407,082
4. Step 4: Simplify right side
   189,190.50x = 165,715,754,724
5. Step 5: Solve for x
   x = 165,715,754,724/189,190.50
6. Step 6: Final answer
   x = 875,920.06