Finding the Third Proportional to 85,842 and 132,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,842 : 132,913.50 = 132,913.50 : x
2. Step 2: Convert to fraction form
   85,842/132,913.50 = 132,913.50/x
3. Step 3: Cross multiply
   85,842x = 132,913.50 × 132,913.50
4. Step 4: Simplify right side
   85,842x = 17,665,998,482.25
5. Step 5: Solve for x
   x = 17,665,998,482.25/85,842
6. Step 6: Final answer
   x = 205,796.68