Finding the Third Proportional to 645,155,822 and 1,415,722,900

Step by Step Solution

1. Step 1: Write the proportion equation
   645,155,822 : 1,415,722,900 = 1,415,722,900 : x
2. Step 2: Convert to fraction form
   645,155,822/1,415,722,900 = 1,415,722,900/x
3. Step 3: Cross multiply
   645,155,822x = 1,415,722,900 × 1,415,722,900
4. Step 4: Simplify right side
   645,155,822x = 2,004,271,329,584,410,112
5. Step 5: Solve for x
   x = 2,004,271,329,584,410,112/645,155,822
6. Step 6: Final answer
   x = 3,106,646,892.48