Finding the Third Proportional to 78,820 and 115,926

Step by Step Solution

1. Step 1: Write the proportion equation
   78,820 : 115,926 = 115,926 : x
2. Step 2: Convert to fraction form
   78,820/115,926 = 115,926/x
3. Step 3: Cross multiply
   78,820x = 115,926 × 115,926
4. Step 4: Simplify right side
   78,820x = 13,438,837,476
5. Step 5: Solve for x
   x = 13,438,837,476/78,820
6. Step 6: Final answer
   x = 170,500.35