Finding the Third Proportional to 82,956 and 127,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,956 : 127,579.50 = 127,579.50 : x
2. Step 2: Convert to fraction form
   82,956/127,579.50 = 127,579.50/x
3. Step 3: Cross multiply
   82,956x = 127,579.50 × 127,579.50
4. Step 4: Simplify right side
   82,956x = 16,276,528,820.25
5. Step 5: Solve for x
   x = 16,276,528,820.25/82,956
6. Step 6: Final answer
   x = 196,206.77