Finding the Third Proportional to 1,157,013,648 and 1,762,590,747.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157,013,648 : 1,762,590,747.38 = 1,762,590,747.38 : x
2. Step 2: Convert to fraction form
   1,157,013,648/1,762,590,747.38 = 1,762,590,747.38/x
3. Step 3: Cross multiply
   1,157,013,648x = 1,762,590,747.38 × 1,762,590,747.38
4. Step 4: Simplify right side
   1,157,013,648x = 3,106,726,142,731,960,832
5. Step 5: Solve for x
   x = 3,106,726,142,731,960,832/1,157,013,648
6. Step 6: Final answer
   x = 2,685,124,888.63