Finding the Third Proportional to 64,209 and 85,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,209 : 85,198.50 = 85,198.50 : x
2. Step 2: Convert to fraction form
   64,209/85,198.50 = 85,198.50/x
3. Step 3: Cross multiply
   64,209x = 85,198.50 × 85,198.50
4. Step 4: Simplify right side
   64,209x = 7,258,784,402.25
5. Step 5: Solve for x
   x = 7,258,784,402.25/64,209
6. Step 6: Final answer
   x = 113,049.33