Finding the Third Proportional to 82,881 and 127,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,881 : 127,462.50 = 127,462.50 : x
2. Step 2: Convert to fraction form
   82,881/127,462.50 = 127,462.50/x
3. Step 3: Cross multiply
   82,881x = 127,462.50 × 127,462.50
4. Step 4: Simplify right side
   82,881x = 16,246,688,906.25
5. Step 5: Solve for x
   x = 16,246,688,906.25/82,881
6. Step 6: Final answer
   x = 196,024.29