Finding the Third Proportional to 76,806 and 116,282.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,806 : 116,282.25 = 116,282.25 : x
2. Step 2: Convert to fraction form
   76,806/116,282.25 = 116,282.25/x
3. Step 3: Cross multiply
   76,806x = 116,282.25 × 116,282.25
4. Step 4: Simplify right side
   76,806x = 13,521,561,665.06
5. Step 5: Solve for x
   x = 13,521,561,665.06/76,806
6. Step 6: Final answer
   x = 176,048.25