Finding the Third Proportional to 140,024,744,926 and 301,286,828,065

Step by Step Solution

1. Step 1: Write the proportion equation
   140,024,744,926 : 301,286,828,065 = 301,286,828,065 : x
2. Step 2: Convert to fraction form
   140,024,744,926/301,286,828,065 = 301,286,828,065/x
3. Step 3: Cross multiply
   140,024,744,926x = 301,286,828,065 × 301,286,828,065
4. Step 4: Simplify right side
   140,024,744,926x = 90,773,752,765,468,863,627,264
5. Step 5: Solve for x
   x = 90,773,752,765,468,863,627,264/140,024,744,926
6. Step 6: Final answer
   x = 648,269,367,056.81