Finding the Third Proportional to 85,734 and 188,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,734 : 188,068.50 = 188,068.50 : x
2. Step 2: Convert to fraction form
   85,734/188,068.50 = 188,068.50/x
3. Step 3: Cross multiply
   85,734x = 188,068.50 × 188,068.50
4. Step 4: Simplify right side
   85,734x = 35,369,760,692.25
5. Step 5: Solve for x
   x = 35,369,760,692.25/85,734
6. Step 6: Final answer
   x = 412,552.32