Finding the Third Proportional to 300,818,511,686 and 455,096,705,769

Step by Step Solution

1. Step 1: Write the proportion equation
   300,818,511,686 : 455,096,705,769 = 455,096,705,769 : x
2. Step 2: Convert to fraction form
   300,818,511,686/455,096,705,769 = 455,096,705,769/x
3. Step 3: Cross multiply
   300,818,511,686x = 455,096,705,769 × 455,096,705,769
4. Step 4: Simplify right side
   300,818,511,686x = 207,113,011,601,795,767,599,104
5. Step 5: Solve for x
   x = 207,113,011,601,795,767,599,104/300,818,511,686
6. Step 6: Final answer
   x = 688,498,225,860.46