Finding the Third Proportional to 413,741,216 and 900,123,310

Step by Step Solution

1. Step 1: Write the proportion equation
   413,741,216 : 900,123,310 = 900,123,310 : x
2. Step 2: Convert to fraction form
   413,741,216/900,123,310 = 900,123,310/x
3. Step 3: Cross multiply
   413,741,216x = 900,123,310 × 900,123,310
4. Step 4: Simplify right side
   413,741,216x = 810,221,973,205,356,160
5. Step 5: Solve for x
   x = 810,221,973,205,356,160/413,741,216
6. Step 6: Final answer
   x = 1,958,281,993.36