Finding the Third Proportional to 82,884 and 127,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,884 : 127,188.50 = 127,188.50 : x
2. Step 2: Convert to fraction form
   82,884/127,188.50 = 127,188.50/x
3. Step 3: Cross multiply
   82,884x = 127,188.50 × 127,188.50
4. Step 4: Simplify right side
   82,884x = 16,176,914,532.25
5. Step 5: Solve for x
   x = 16,176,914,532.25/82,884
6. Step 6: Final answer
   x = 195,175.36