Finding the Third Proportional to 82,912.50 and 127,602

Step by Step Solution

1. Step 1: Write the proportion equation
   82,912.50 : 127,602 = 127,602 : x
2. Step 2: Convert to fraction form
   82,912.50/127,602 = 127,602/x
3. Step 3: Cross multiply
   82,912.50x = 127,602 × 127,602
4. Step 4: Simplify right side
   82,912.50x = 16,282,270,404
5. Step 5: Solve for x
   x = 16,282,270,404/82,912.50
6. Step 6: Final answer
   x = 196,378.96