Finding the Third Proportional to 75,938 and 113,290

Step by Step Solution

1. Step 1: Write the proportion equation
   75,938 : 113,290 = 113,290 : x
2. Step 2: Convert to fraction form
   75,938/113,290 = 113,290/x
3. Step 3: Cross multiply
   75,938x = 113,290 × 113,290
4. Step 4: Simplify right side
   75,938x = 12,834,624,100
5. Step 5: Solve for x
   x = 12,834,624,100/75,938
6. Step 6: Final answer
   x = 169,014.51