Finding the Third Proportional to 109,558 and 169,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,558 : 169,174.50 = 169,174.50 : x
2. Step 2: Convert to fraction form
   109,558/169,174.50 = 169,174.50/x
3. Step 3: Cross multiply
   109,558x = 169,174.50 × 169,174.50
4. Step 4: Simplify right side
   109,558x = 28,620,011,450.25
5. Step 5: Solve for x
   x = 28,620,011,450.25/109,558
6. Step 6: Final answer
   x = 261,231.60