Finding the Third Proportional to 105,665 and 156,750

Step by Step Solution

1. Step 1: Write the proportion equation
   105,665 : 156,750 = 156,750 : x
2. Step 2: Convert to fraction form
   105,665/156,750 = 156,750/x
3. Step 3: Cross multiply
   105,665x = 156,750 × 156,750
4. Step 4: Simplify right side
   105,665x = 24,570,562,500
5. Step 5: Solve for x
   x = 24,570,562,500/105,665
6. Step 6: Final answer
   x = 232,532.65