Finding the Third Proportional to 111,565 and 156,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,565 : 156,403.50 = 156,403.50 : x
2. Step 2: Convert to fraction form
   111,565/156,403.50 = 156,403.50/x
3. Step 3: Cross multiply
   111,565x = 156,403.50 × 156,403.50
4. Step 4: Simplify right side
   111,565x = 24,462,054,812.25
5. Step 5: Solve for x
   x = 24,462,054,812.25/111,565
6. Step 6: Final answer
   x = 219,262.80