Finding the Third Proportional to 78,624 and 114,912

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 114,912 = 114,912 : x
2. Step 2: Convert to fraction form
   78,624/114,912 = 114,912/x
3. Step 3: Cross multiply
   78,624x = 114,912 × 114,912
4. Step 4: Simplify right side
   78,624x = 13,204,767,744
5. Step 5: Solve for x
   x = 13,204,767,744/78,624
6. Step 6: Final answer
   x = 167,948.31