Finding the Third Proportional to 766,643,055 and 1,667,609,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   766,643,055 : 1,667,609,902.50 = 1,667,609,902.50 : x
2. Step 2: Convert to fraction form
   766,643,055/1,667,609,902.50 = 1,667,609,902.50/x
3. Step 3: Cross multiply
   766,643,055x = 1,667,609,902.50 × 1,667,609,902.50
4. Step 4: Simplify right side
   766,643,055x = 2,780,922,786,916,059,648
5. Step 5: Solve for x
   x = 2,780,922,786,916,059,648/766,643,055
6. Step 6: Final answer
   x = 3,627,402,307.74