Finding the Third Proportional to 77,107.50 and 115,020

Step by Step Solution

1. Step 1: Write the proportion equation
   77,107.50 : 115,020 = 115,020 : x
2. Step 2: Convert to fraction form
   77,107.50/115,020 = 115,020/x
3. Step 3: Cross multiply
   77,107.50x = 115,020 × 115,020
4. Step 4: Simplify right side
   77,107.50x = 13,229,600,400
5. Step 5: Solve for x
   x = 13,229,600,400/77,107.50
6. Step 6: Final answer
   x = 171,573.46