Finding the Third Proportional to 83,997.32 and 182,756.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,997.32 : 182,756.88 = 182,756.88 : x
2. Step 2: Convert to fraction form
   83,997.32/182,756.88 = 182,756.88/x
3. Step 3: Cross multiply
   83,997.32x = 182,756.88 × 182,756.88
4. Step 4: Simplify right side
   83,997.32x = 33,400,078,215.34
5. Step 5: Solve for x
   x = 33,400,078,215.34/83,997.32
6. Step 6: Final answer
   x = 397,632.68