Finding the Third Proportional to 82,977,626,622 and 178,540,342,560

Step by Step Solution

1. Step 1: Write the proportion equation
   82,977,626,622 : 178,540,342,560 = 178,540,342,560 : x
2. Step 2: Convert to fraction form
   82,977,626,622/178,540,342,560 = 178,540,342,560/x
3. Step 3: Cross multiply
   82,977,626,622x = 178,540,342,560 × 178,540,342,560
4. Step 4: Simplify right side
   82,977,626,622x = 31,876,653,921,442,147,074,048
5. Step 5: Solve for x
   x = 31,876,653,921,442,147,074,048/82,977,626,622
6. Step 6: Final answer
   x = 384,159,624,939.08