Finding the Third Proportional to 81,230 and 188,032

Step by Step Solution

1. Step 1: Write the proportion equation
   81,230 : 188,032 = 188,032 : x
2. Step 2: Convert to fraction form
   81,230/188,032 = 188,032/x
3. Step 3: Cross multiply
   81,230x = 188,032 × 188,032
4. Step 4: Simplify right side
   81,230x = 35,356,033,024
5. Step 5: Solve for x
   x = 35,356,033,024/81,230
6. Step 6: Final answer
   x = 435,258.32