Finding the Third Proportional to 106,565 and 156,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,565 : 156,391.50 = 156,391.50 : x
2. Step 2: Convert to fraction form
   106,565/156,391.50 = 156,391.50/x
3. Step 3: Cross multiply
   106,565x = 156,391.50 × 156,391.50
4. Step 4: Simplify right side
   106,565x = 24,458,301,272.25
5. Step 5: Solve for x
   x = 24,458,301,272.25/106,565
6. Step 6: Final answer
   x = 229,515.33