Finding the Third Proportional to 85,902.75 and 188,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,902.75 : 188,743.50 = 188,743.50 : x
2. Step 2: Convert to fraction form
   85,902.75/188,743.50 = 188,743.50/x
3. Step 3: Cross multiply
   85,902.75x = 188,743.50 × 188,743.50
4. Step 4: Simplify right side
   85,902.75x = 35,624,108,792.25
5. Step 5: Solve for x
   x = 35,624,108,792.25/85,902.75
6. Step 6: Final answer
   x = 414,702.77