Finding the Third Proportional to 413,741,214 and 900,123,306

Step by Step Solution

1. Step 1: Write the proportion equation
   413,741,214 : 900,123,306 = 900,123,306 : x
2. Step 2: Convert to fraction form
   413,741,214/900,123,306 = 900,123,306/x
3. Step 3: Cross multiply
   413,741,214x = 900,123,306 × 900,123,306
4. Step 4: Simplify right side
   413,741,214x = 810,221,966,004,369,664
5. Step 5: Solve for x
   x = 810,221,966,004,369,664/413,741,214
6. Step 6: Final answer
   x = 1,958,281,985.43