Finding the Third Proportional to 1,196,597,775 and 1,838,120,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196,597,775 : 1,838,120,692.50 = 1,838,120,692.50 : x
2. Step 2: Convert to fraction form
   1,196,597,775/1,838,120,692.50 = 1,838,120,692.50/x
3. Step 3: Cross multiply
   1,196,597,775x = 1,838,120,692.50 × 1,838,120,692.50
4. Step 4: Simplify right side
   1,196,597,775x = 3,378,687,680,196,679,680
5. Step 5: Solve for x
   x = 3,378,687,680,196,679,680/1,196,597,775
6. Step 6: Final answer
   x = 2,823,578,441.13