Finding the Third Proportional to 56,380 and 89,207

Step by Step Solution

1. Step 1: Write the proportion equation
   56,380 : 89,207 = 89,207 : x
2. Step 2: Convert to fraction form
   56,380/89,207 = 89,207/x
3. Step 3: Cross multiply
   56,380x = 89,207 × 89,207
4. Step 4: Simplify right side
   56,380x = 7,957,888,849
5. Step 5: Solve for x
   x = 7,957,888,849/56,380
6. Step 6: Final answer
   x = 141,147.37