Finding the Third Proportional to 85,196.75 and 133,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,196.75 : 133,659.50 = 133,659.50 : x
2. Step 2: Convert to fraction form
   85,196.75/133,659.50 = 133,659.50/x
3. Step 3: Cross multiply
   85,196.75x = 133,659.50 × 133,659.50
4. Step 4: Simplify right side
   85,196.75x = 17,864,861,940.25
5. Step 5: Solve for x
   x = 17,864,861,940.25/85,196.75
6. Step 6: Final answer
   x = 209,689.48