Finding the Third Proportional to 116,658 and 175,093

Step by Step Solution

1. Step 1: Write the proportion equation
   116,658 : 175,093 = 175,093 : x
2. Step 2: Convert to fraction form
   116,658/175,093 = 175,093/x
3. Step 3: Cross multiply
   116,658x = 175,093 × 175,093
4. Step 4: Simplify right side
   116,658x = 30,657,558,649
5. Step 5: Solve for x
   x = 30,657,558,649/116,658
6. Step 6: Final answer
   x = 262,798.60