Finding the Third Proportional to 85,737 and 188,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,737 : 188,074.50 = 188,074.50 : x
2. Step 2: Convert to fraction form
   85,737/188,074.50 = 188,074.50/x
3. Step 3: Cross multiply
   85,737x = 188,074.50 × 188,074.50
4. Step 4: Simplify right side
   85,737x = 35,372,017,550.25
5. Step 5: Solve for x
   x = 35,372,017,550.25/85,737
6. Step 6: Final answer
   x = 412,564.21