Finding the Third Proportional to 359,905,011,564 and 773,974,489,848

Step by Step Solution

1. Step 1: Write the proportion equation
   359,905,011,564 : 773,974,489,848 = 773,974,489,848 : x
2. Step 2: Convert to fraction form
   359,905,011,564/773,974,489,848 = 773,974,489,848/x
3. Step 3: Cross multiply
   359,905,011,564x = 773,974,489,848 × 773,974,489,848
4. Step 4: Simplify right side
   359,905,011,564x = 599,036,510,935,471,829,811,200
5. Step 5: Solve for x
   x = 599,036,510,935,471,829,811,200/359,905,011,564
6. Step 6: Final answer
   x = 1,664,429,479,134.80