Finding the Third Proportional to 85,833 and 132,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,833 : 132,637.50 = 132,637.50 : x
2. Step 2: Convert to fraction form
   85,833/132,637.50 = 132,637.50/x
3. Step 3: Cross multiply
   85,833x = 132,637.50 × 132,637.50
4. Step 4: Simplify right side
   85,833x = 17,592,706,406.25
5. Step 5: Solve for x
   x = 17,592,706,406.25/85,833
6. Step 6: Final answer
   x = 204,964.37