Finding the Third Proportional to 85,984 and 132,848

Step by Step Solution

1. Step 1: Write the proportion equation
   85,984 : 132,848 = 132,848 : x
2. Step 2: Convert to fraction form
   85,984/132,848 = 132,848/x
3. Step 3: Cross multiply
   85,984x = 132,848 × 132,848
4. Step 4: Simplify right side
   85,984x = 17,648,591,104
5. Step 5: Solve for x
   x = 17,648,591,104/85,984
6. Step 6: Final answer
   x = 205,254.36