Finding the Third Proportional to 85,843 and 130,764

Step by Step Solution

1. Step 1: Write the proportion equation
   85,843 : 130,764 = 130,764 : x
2. Step 2: Convert to fraction form
   85,843/130,764 = 130,764/x
3. Step 3: Cross multiply
   85,843x = 130,764 × 130,764
4. Step 4: Simplify right side
   85,843x = 17,099,223,696
5. Step 5: Solve for x
   x = 17,099,223,696/85,843
6. Step 6: Final answer
   x = 199,191.82