Finding the Third Proportional to 83,924 and 128,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,924 : 128,076.50 = 128,076.50 : x
2. Step 2: Convert to fraction form
   83,924/128,076.50 = 128,076.50/x
3. Step 3: Cross multiply
   83,924x = 128,076.50 × 128,076.50
4. Step 4: Simplify right side
   83,924x = 16,403,589,852.25
5. Step 5: Solve for x
   x = 16,403,589,852.25/83,924
6. Step 6: Final answer
   x = 195,457.67