Finding the Third Proportional to 76,500 and 116,370

Step by Step Solution

1. Step 1: Write the proportion equation
   76,500 : 116,370 = 116,370 : x
2. Step 2: Convert to fraction form
   76,500/116,370 = 116,370/x
3. Step 3: Cross multiply
   76,500x = 116,370 × 116,370
4. Step 4: Simplify right side
   76,500x = 13,541,976,900
5. Step 5: Solve for x
   x = 13,541,976,900/76,500
6. Step 6: Final answer
   x = 177,019.31