Finding the Third Proportional to 77,976 and 115,300

Step by Step Solution

1. Step 1: Write the proportion equation
   77,976 : 115,300 = 115,300 : x
2. Step 2: Convert to fraction form
   77,976/115,300 = 115,300/x
3. Step 3: Cross multiply
   77,976x = 115,300 × 115,300
4. Step 4: Simplify right side
   77,976x = 13,294,090,000
5. Step 5: Solve for x
   x = 13,294,090,000/77,976
6. Step 6: Final answer
   x = 170,489.51