Finding the Third Proportional to 116,840 and 175,062

Step by Step Solution

1. Step 1: Write the proportion equation
   116,840 : 175,062 = 175,062 : x
2. Step 2: Convert to fraction form
   116,840/175,062 = 175,062/x
3. Step 3: Cross multiply
   116,840x = 175,062 × 175,062
4. Step 4: Simplify right side
   116,840x = 30,646,703,844
5. Step 5: Solve for x
   x = 30,646,703,844/116,840
6. Step 6: Final answer
   x = 262,296.34