Finding the Third Proportional to 56,294 and 89,138

Step by Step Solution

1. Step 1: Write the proportion equation
   56,294 : 89,138 = 89,138 : x
2. Step 2: Convert to fraction form
   56,294/89,138 = 89,138/x
3. Step 3: Cross multiply
   56,294x = 89,138 × 89,138
4. Step 4: Simplify right side
   56,294x = 7,945,583,044
5. Step 5: Solve for x
   x = 7,945,583,044/56,294
6. Step 6: Final answer
   x = 141,144.40