Finding the Third Proportional to 85,901 and 130,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,901 : 130,039.50 = 130,039.50 : x
2. Step 2: Convert to fraction form
   85,901/130,039.50 = 130,039.50/x
3. Step 3: Cross multiply
   85,901x = 130,039.50 × 130,039.50
4. Step 4: Simplify right side
   85,901x = 16,910,271,560.25
5. Step 5: Solve for x
   x = 16,910,271,560.25/85,901
6. Step 6: Final answer
   x = 196,857.68