Finding the Third Proportional to 83,906 and 128,046

Step by Step Solution

1. Step 1: Write the proportion equation
   83,906 : 128,046 = 128,046 : x
2. Step 2: Convert to fraction form
   83,906/128,046 = 128,046/x
3. Step 3: Cross multiply
   83,906x = 128,046 × 128,046
4. Step 4: Simplify right side
   83,906x = 16,395,778,116
5. Step 5: Solve for x
   x = 16,395,778,116/83,906
6. Step 6: Final answer
   x = 195,406.50