Finding the Third Proportional to 77,768 and 115,012

Step by Step Solution

1. Step 1: Write the proportion equation
   77,768 : 115,012 = 115,012 : x
2. Step 2: Convert to fraction form
   77,768/115,012 = 115,012/x
3. Step 3: Cross multiply
   77,768x = 115,012 × 115,012
4. Step 4: Simplify right side
   77,768x = 13,227,760,144
5. Step 5: Solve for x
   x = 13,227,760,144/77,768
6. Step 6: Final answer
   x = 170,092.58