Finding the Third Proportional to 39,145.50 and 85,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,145.50 : 85,459.50 = 85,459.50 : x
2. Step 2: Convert to fraction form
   39,145.50/85,459.50 = 85,459.50/x
3. Step 3: Cross multiply
   39,145.50x = 85,459.50 × 85,459.50
4. Step 4: Simplify right side
   39,145.50x = 7,303,326,140.25
5. Step 5: Solve for x
   x = 7,303,326,140.25/39,145.50
6. Step 6: Final answer
   x = 186,568.73