Finding the Third Proportional to 58,380 and 90,384

Step by Step Solution

1. Step 1: Write the proportion equation
   58,380 : 90,384 = 90,384 : x
2. Step 2: Convert to fraction form
   58,380/90,384 = 90,384/x
3. Step 3: Cross multiply
   58,380x = 90,384 × 90,384
4. Step 4: Simplify right side
   58,380x = 8,169,267,456
5. Step 5: Solve for x
   x = 8,169,267,456/58,380
6. Step 6: Final answer
   x = 139,932.64