Finding the Third Proportional to 82,413,389,155 and 178,518,157,852

Step by Step Solution

1. Step 1: Write the proportion equation
   82,413,389,155 : 178,518,157,852 = 178,518,157,852 : x
2. Step 2: Convert to fraction form
   82,413,389,155/178,518,157,852 = 178,518,157,852/x
3. Step 3: Cross multiply
   82,413,389,155x = 178,518,157,852 × 178,518,157,852
4. Step 4: Simplify right side
   82,413,389,155x = 31,868,732,682,871,588,782,080
5. Step 5: Solve for x
   x = 31,868,732,682,871,588,782,080/82,413,389,155
6. Step 6: Final answer
   x = 386,693,630,848.43