Finding the Third Proportional to 82,977,626,620 and 178,540,342,556

Step by Step Solution

1. Step 1: Write the proportion equation
   82,977,626,620 : 178,540,342,556 = 178,540,342,556 : x
2. Step 2: Convert to fraction form
   82,977,626,620/178,540,342,556 = 178,540,342,556/x
3. Step 3: Cross multiply
   82,977,626,620x = 178,540,342,556 × 178,540,342,556
4. Step 4: Simplify right side
   82,977,626,620x = 31,876,653,920,013,822,984,192
5. Step 5: Solve for x
   x = 31,876,653,920,013,822,984,192/82,977,626,620
6. Step 6: Final answer
   x = 384,159,624,931.12