Finding the Third Proportional to 110,746.50 and 166,085

Step by Step Solution

1. Step 1: Write the proportion equation
   110,746.50 : 166,085 = 166,085 : x
2. Step 2: Convert to fraction form
   110,746.50/166,085 = 166,085/x
3. Step 3: Cross multiply
   110,746.50x = 166,085 × 166,085
4. Step 4: Simplify right side
   110,746.50x = 27,584,227,225
5. Step 5: Solve for x
   x = 27,584,227,225/110,746.50
6. Step 6: Final answer
   x = 249,075.39