Finding the Third Proportional to 116,623.50 and 174,903

Step by Step Solution

1. Step 1: Write the proportion equation
   116,623.50 : 174,903 = 174,903 : x
2. Step 2: Convert to fraction form
   116,623.50/174,903 = 174,903/x
3. Step 3: Cross multiply
   116,623.50x = 174,903 × 174,903
4. Step 4: Simplify right side
   116,623.50x = 30,591,059,409
5. Step 5: Solve for x
   x = 30,591,059,409/116,623.50
6. Step 6: Final answer
   x = 262,306.13