Finding the Third Proportional to 56,380 and 89,206

Step by Step Solution

1. Step 1: Write the proportion equation
   56,380 : 89,206 = 89,206 : x
2. Step 2: Convert to fraction form
   56,380/89,206 = 89,206/x
3. Step 3: Cross multiply
   56,380x = 89,206 × 89,206
4. Step 4: Simplify right side
   56,380x = 7,957,710,436
5. Step 5: Solve for x
   x = 7,957,710,436/56,380
6. Step 6: Final answer
   x = 141,144.21