Finding the Third Proportional to 85,738.50 and 188,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,738.50 : 188,077.50 = 188,077.50 : x
2. Step 2: Convert to fraction form
   85,738.50/188,077.50 = 188,077.50/x
3. Step 3: Cross multiply
   85,738.50x = 188,077.50 × 188,077.50
4. Step 4: Simplify right side
   85,738.50x = 35,373,146,006.25
5. Step 5: Solve for x
   x = 35,373,146,006.25/85,738.50
6. Step 6: Final answer
   x = 412,570.15