Finding the Third Proportional to 82,308,896 and 126,309,216

Step by Step Solution

1. Step 1: Write the proportion equation
   82,308,896 : 126,309,216 = 126,309,216 : x
2. Step 2: Convert to fraction form
   82,308,896/126,309,216 = 126,309,216/x
3. Step 3: Cross multiply
   82,308,896x = 126,309,216 × 126,309,216
4. Step 4: Simplify right side
   82,308,896x = 15,954,018,046,534,656
5. Step 5: Solve for x
   x = 15,954,018,046,534,656/82,308,896
6. Step 6: Final answer
   x = 193,831,029.47