Finding the Third Proportional to 5,178,914 and 7,840,347

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178,914 : 7,840,347 = 7,840,347 : x
2. Step 2: Convert to fraction form
   5,178,914/7,840,347 = 7,840,347/x
3. Step 3: Cross multiply
   5,178,914x = 7,840,347 × 7,840,347
4. Step 4: Simplify right side
   5,178,914x = 61,471,041,080,409
5. Step 5: Solve for x
   x = 61,471,041,080,409/5,178,914
6. Step 6: Final answer
   x = 11,869,484.81