Finding the Third Proportional to 109,713 and 166,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,713 : 166,108.50 = 166,108.50 : x
2. Step 2: Convert to fraction form
   109,713/166,108.50 = 166,108.50/x
3. Step 3: Cross multiply
   109,713x = 166,108.50 × 166,108.50
4. Step 4: Simplify right side
   109,713x = 27,592,033,772.25
5. Step 5: Solve for x
   x = 27,592,033,772.25/109,713
6. Step 6: Final answer
   x = 251,492.84