Finding the Third Proportional to 76,326 and 116,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,326 : 116,761.50 = 116,761.50 : x
2. Step 2: Convert to fraction form
   76,326/116,761.50 = 116,761.50/x
3. Step 3: Cross multiply
   76,326x = 116,761.50 × 116,761.50
4. Step 4: Simplify right side
   76,326x = 13,633,247,882.25
5. Step 5: Solve for x
   x = 13,633,247,882.25/76,326
6. Step 6: Final answer
   x = 178,618.66