Finding the Third Proportional to 76,770 and 116,334

Step by Step Solution

1. Step 1: Write the proportion equation
   76,770 : 116,334 = 116,334 : x
2. Step 2: Convert to fraction form
   76,770/116,334 = 116,334/x
3. Step 3: Cross multiply
   76,770x = 116,334 × 116,334
4. Step 4: Simplify right side
   76,770x = 13,533,599,556
5. Step 5: Solve for x
   x = 13,533,599,556/76,770
6. Step 6: Final answer
   x = 176,287.61