Finding the Third Proportional to 413,741,218 and 900,123,314

Step by Step Solution

1. Step 1: Write the proportion equation
   413,741,218 : 900,123,314 = 900,123,314 : x
2. Step 2: Convert to fraction form
   413,741,218/900,123,314 = 900,123,314/x
3. Step 3: Cross multiply
   413,741,218x = 900,123,314 × 900,123,314
4. Step 4: Simplify right side
   413,741,218x = 810,221,980,406,342,656
5. Step 5: Solve for x
   x = 810,221,980,406,342,656/413,741,218
6. Step 6: Final answer
   x = 1,958,282,001.30