Finding the Third Proportional to 76,354 and 116,588

Step by Step Solution

1. Step 1: Write the proportion equation
   76,354 : 116,588 = 116,588 : x
2. Step 2: Convert to fraction form
   76,354/116,588 = 116,588/x
3. Step 3: Cross multiply
   76,354x = 116,588 × 116,588
4. Step 4: Simplify right side
   76,354x = 13,592,761,744
5. Step 5: Solve for x
   x = 13,592,761,744/76,354
6. Step 6: Final answer
   x = 178,022.92