Finding the Third Proportional to 300,818,511,684 and 455,096,705,766

Step by Step Solution

1. Step 1: Write the proportion equation
   300,818,511,684 : 455,096,705,766 = 455,096,705,766 : x
2. Step 2: Convert to fraction form
   300,818,511,684/455,096,705,766 = 455,096,705,766/x
3. Step 3: Cross multiply
   300,818,511,684x = 455,096,705,766 × 455,096,705,766
4. Step 4: Simplify right side
   300,818,511,684x = 207,113,011,599,065,175,031,808
5. Step 5: Solve for x
   x = 207,113,011,599,065,175,031,808/300,818,511,684
6. Step 6: Final answer
   x = 688,498,225,855.96