Finding the Third Proportional to 116,552 and 174,369

Step by Step Solution

1. Step 1: Write the proportion equation
   116,552 : 174,369 = 174,369 : x
2. Step 2: Convert to fraction form
   116,552/174,369 = 174,369/x
3. Step 3: Cross multiply
   116,552x = 174,369 × 174,369
4. Step 4: Simplify right side
   116,552x = 30,404,548,161
5. Step 5: Solve for x
   x = 30,404,548,161/116,552
6. Step 6: Final answer
   x = 260,866.81