Finding the Third Proportional to 85,941 and 188,807.63

Step by Step Solution

1. Step 1: Write the proportion equation
   85,941 : 188,807.63 = 188,807.63 : x
2. Step 2: Convert to fraction form
   85,941/188,807.63 = 188,807.63/x
3. Step 3: Cross multiply
   85,941x = 188,807.63 × 188,807.63
4. Step 4: Simplify right side
   85,941x = 35,648,319,258.14
5. Step 5: Solve for x
   x = 35,648,319,258.14/85,941
6. Step 6: Final answer
   x = 414,799.91