Finding the Third Proportional to 116,661 and 175,083

Step by Step Solution

1. Step 1: Write the proportion equation
   116,661 : 175,083 = 175,083 : x
2. Step 2: Convert to fraction form
   116,661/175,083 = 175,083/x
3. Step 3: Cross multiply
   116,661x = 175,083 × 175,083
4. Step 4: Simplify right side
   116,661x = 30,654,056,889
5. Step 5: Solve for x
   x = 30,654,056,889/116,661
6. Step 6: Final answer
   x = 262,761.82