Finding the Third Proportional to 76,318 and 116,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,318 : 116,743.50 = 116,743.50 : x
2. Step 2: Convert to fraction form
   76,318/116,743.50 = 116,743.50/x
3. Step 3: Cross multiply
   76,318x = 116,743.50 × 116,743.50
4. Step 4: Simplify right side
   76,318x = 13,629,044,792.25
5. Step 5: Solve for x
   x = 13,629,044,792.25/76,318
6. Step 6: Final answer
   x = 178,582.31