Finding the Third Proportional to 184,843.50 and 278,082

Step by Step Solution

1. Step 1: Write the proportion equation
   184,843.50 : 278,082 = 278,082 : x
2. Step 2: Convert to fraction form
   184,843.50/278,082 = 278,082/x
3. Step 3: Cross multiply
   184,843.50x = 278,082 × 278,082
4. Step 4: Simplify right side
   184,843.50x = 77,329,598,724
5. Step 5: Solve for x
   x = 77,329,598,724/184,843.50
6. Step 6: Final answer
   x = 418,351.73