Finding the Third Proportional to 116,666 and 174,963

Step by Step Solution

1. Step 1: Write the proportion equation
   116,666 : 174,963 = 174,963 : x
2. Step 2: Convert to fraction form
   116,666/174,963 = 174,963/x
3. Step 3: Cross multiply
   116,666x = 174,963 × 174,963
4. Step 4: Simplify right side
   116,666x = 30,612,051,369
5. Step 5: Solve for x
   x = 30,612,051,369/116,666
6. Step 6: Final answer
   x = 262,390.51