Finding the Third Proportional to 109,610 and 174,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,610 : 174,546.50 = 174,546.50 : x
2. Step 2: Convert to fraction form
   109,610/174,546.50 = 174,546.50/x
3. Step 3: Cross multiply
   109,610x = 174,546.50 × 174,546.50
4. Step 4: Simplify right side
   109,610x = 30,466,480,662.25
5. Step 5: Solve for x
   x = 30,466,480,662.25/109,610
6. Step 6: Final answer
   x = 277,953.48