Finding the Third Proportional to 116,606.50 and 174,875

Step by Step Solution

1. Step 1: Write the proportion equation
   116,606.50 : 174,875 = 174,875 : x
2. Step 2: Convert to fraction form
   116,606.50/174,875 = 174,875/x
3. Step 3: Cross multiply
   116,606.50x = 174,875 × 174,875
4. Step 4: Simplify right side
   116,606.50x = 30,581,265,625
5. Step 5: Solve for x
   x = 30,581,265,625/116,606.50
6. Step 6: Final answer
   x = 262,260.39