Finding the Third Proportional to 2,575,414,784 and 5,578,681,684

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575,414,784 : 5,578,681,684 = 5,578,681,684 : x
2. Step 2: Convert to fraction form
   2,575,414,784/5,578,681,684 = 5,578,681,684/x
3. Step 3: Cross multiply
   2,575,414,784x = 5,578,681,684 × 5,578,681,684
4. Step 4: Simplify right side
   2,575,414,784x = 31,121,689,331,397,074,944
5. Step 5: Solve for x
   x = 31,121,689,331,397,074,944/2,575,414,784
6. Step 6: Final answer
   x = 12,084,146,415.85