Finding the Third Proportional to 414,603,284 and 907,309,096

Step by Step Solution

1. Step 1: Write the proportion equation
   414,603,284 : 907,309,096 = 907,309,096 : x
2. Step 2: Convert to fraction form
   414,603,284/907,309,096 = 907,309,096/x
3. Step 3: Cross multiply
   414,603,284x = 907,309,096 × 907,309,096
4. Step 4: Simplify right side
   414,603,284x = 823,209,795,684,337,152
5. Step 5: Solve for x
   x = 823,209,795,684,337,152/414,603,284
6. Step 6: Final answer
   x = 1,985,536,119.59