Finding the Third Proportional to 584,774,659,648 and 788,998,321,248

Step by Step Solution

1. Step 1: Write the proportion equation
   584,774,659,648 : 788,998,321,248 = 788,998,321,248 : x
2. Step 2: Convert to fraction form
   584,774,659,648/788,998,321,248 = 788,998,321,248/x
3. Step 3: Cross multiply
   584,774,659,648x = 788,998,321,248 × 788,998,321,248
4. Step 4: Simplify right side
   584,774,659,648x = 622,518,350,932,162,178,449,408
5. Step 5: Solve for x
   x = 622,518,350,932,162,178,449,408/584,774,659,648
6. Step 6: Final answer
   x = 1,064,543,992,564.39