Finding the Third Proportional to 85,892.25 and 128,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,892.25 : 128,443.50 = 128,443.50 : x
2. Step 2: Convert to fraction form
   85,892.25/128,443.50 = 128,443.50/x
3. Step 3: Cross multiply
   85,892.25x = 128,443.50 × 128,443.50
4. Step 4: Simplify right side
   85,892.25x = 16,497,732,692.25
5. Step 5: Solve for x
   x = 16,497,732,692.25/85,892.25
6. Step 6: Final answer
   x = 192,074.75