Finding the Third Proportional to 81,088 and 188,384

Step by Step Solution

1. Step 1: Write the proportion equation
   81,088 : 188,384 = 188,384 : x
2. Step 2: Convert to fraction form
   81,088/188,384 = 188,384/x
3. Step 3: Cross multiply
   81,088x = 188,384 × 188,384
4. Step 4: Simplify right side
   81,088x = 35,488,531,456
5. Step 5: Solve for x
   x = 35,488,531,456/81,088
6. Step 6: Final answer
   x = 437,654.54