Finding the Third Proportional to 85,833 and 129,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,833 : 129,667.50 = 129,667.50 : x
2. Step 2: Convert to fraction form
   85,833/129,667.50 = 129,667.50/x
3. Step 3: Cross multiply
   85,833x = 129,667.50 × 129,667.50
4. Step 4: Simplify right side
   85,833x = 16,813,660,556.25
5. Step 5: Solve for x
   x = 16,813,660,556.25/85,833
6. Step 6: Final answer
   x = 195,888.07