Finding the Third Proportional to 82,938 and 128,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,938 : 128,632.50 = 128,632.50 : x
2. Step 2: Convert to fraction form
   82,938/128,632.50 = 128,632.50/x
3. Step 3: Cross multiply
   82,938x = 128,632.50 × 128,632.50
4. Step 4: Simplify right side
   82,938x = 16,546,320,056.25
5. Step 5: Solve for x
   x = 16,546,320,056.25/82,938
6. Step 6: Final answer
   x = 199,502.28