Finding the Third Proportional to 116,669 and 175,095

Step by Step Solution

1. Step 1: Write the proportion equation
   116,669 : 175,095 = 175,095 : x
2. Step 2: Convert to fraction form
   116,669/175,095 = 175,095/x
3. Step 3: Cross multiply
   116,669x = 175,095 × 175,095
4. Step 4: Simplify right side
   116,669x = 30,658,259,025
5. Step 5: Solve for x
   x = 30,658,259,025/116,669
6. Step 6: Final answer
   x = 262,779.82