Finding the Third Proportional to 727,184 and 978,213

Step by Step Solution

1. Step 1: Write the proportion equation
   727,184 : 978,213 = 978,213 : x
2. Step 2: Convert to fraction form
   727,184/978,213 = 978,213/x
3. Step 3: Cross multiply
   727,184x = 978,213 × 978,213
4. Step 4: Simplify right side
   727,184x = 956,900,673,369
5. Step 5: Solve for x
   x = 956,900,673,369/727,184
6. Step 6: Final answer
   x = 1,315,898.97