Finding the Third Proportional to 116,550 and 174,366

Step by Step Solution

1. Step 1: Write the proportion equation
   116,550 : 174,366 = 174,366 : x
2. Step 2: Convert to fraction form
   116,550/174,366 = 174,366/x
3. Step 3: Cross multiply
   116,550x = 174,366 × 174,366
4. Step 4: Simplify right side
   116,550x = 30,403,501,956
5. Step 5: Solve for x
   x = 30,403,501,956/116,550
6. Step 6: Final answer
   x = 260,862.31