Finding the Third Proportional to 82,981 and 119,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,981 : 119,287.50 = 119,287.50 : x
2. Step 2: Convert to fraction form
   82,981/119,287.50 = 119,287.50/x
3. Step 3: Cross multiply
   82,981x = 119,287.50 × 119,287.50
4. Step 4: Simplify right side
   82,981x = 14,229,507,656.25
5. Step 5: Solve for x
   x = 14,229,507,656.25/82,981
6. Step 6: Final answer
   x = 171,479.11