Finding the Third Proportional to 82,948.50 and 127,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,948.50 : 127,669.50 = 127,669.50 : x
2. Step 2: Convert to fraction form
   82,948.50/127,669.50 = 127,669.50/x
3. Step 3: Cross multiply
   82,948.50x = 127,669.50 × 127,669.50
4. Step 4: Simplify right side
   82,948.50x = 16,299,501,230.25
5. Step 5: Solve for x
   x = 16,299,501,230.25/82,948.50
6. Step 6: Final answer
   x = 196,501.46