Finding the Third Proportional to 82,413,271,554 and 178,517,810,460

Step by Step Solution

1. Step 1: Write the proportion equation
   82,413,271,554 : 178,517,810,460 = 178,517,810,460 : x
2. Step 2: Convert to fraction form
   82,413,271,554/178,517,810,460 = 178,517,810,460/x
3. Step 3: Cross multiply
   82,413,271,554x = 178,517,810,460 × 178,517,810,460
4. Step 4: Simplify right side
   82,413,271,554x = 31,868,608,651,432,485,191,680
5. Step 5: Solve for x
   x = 31,868,608,651,432,485,191,680/82,413,271,554
6. Step 6: Final answer
   x = 386,692,677,653.88