Finding the Third Proportional to 584,784 and 1,215,534

Step by Step Solution

1. Step 1: Write the proportion equation
   584,784 : 1,215,534 = 1,215,534 : x
2. Step 2: Convert to fraction form
   584,784/1,215,534 = 1,215,534/x
3. Step 3: Cross multiply
   584,784x = 1,215,534 × 1,215,534
4. Step 4: Simplify right side
   584,784x = 1,477,522,905,156
5. Step 5: Solve for x
   x = 1,477,522,905,156/584,784
6. Step 6: Final answer
   x = 2,526,613.08