Finding the Third Proportional to 460,282,914 and 1,009,678,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   460,282,914 : 1,009,678,969.50 = 1,009,678,969.50 : x
2. Step 2: Convert to fraction form
   460,282,914/1,009,678,969.50 = 1,009,678,969.50/x
3. Step 3: Cross multiply
   460,282,914x = 1,009,678,969.50 × 1,009,678,969.50
4. Step 4: Simplify right side
   460,282,914x = 1,019,451,621,450,581,888
5. Step 5: Solve for x
   x = 1,019,451,621,450,581,888/460,282,914
6. Step 6: Final answer
   x = 2,214,836,984.91