Finding the Third Proportional to 64,099 and 85,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,099 : 85,708.50 = 85,708.50 : x
2. Step 2: Convert to fraction form
   64,099/85,708.50 = 85,708.50/x
3. Step 3: Cross multiply
   64,099x = 85,708.50 × 85,708.50
4. Step 4: Simplify right side
   64,099x = 7,345,946,972.25
5. Step 5: Solve for x
   x = 7,345,946,972.25/64,099
6. Step 6: Final answer
   x = 114,603.14