Finding the Third Proportional to 102,256 and 156,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,256 : 156,968.50 = 156,968.50 : x
2. Step 2: Convert to fraction form
   102,256/156,968.50 = 156,968.50/x
3. Step 3: Cross multiply
   102,256x = 156,968.50 × 156,968.50
4. Step 4: Simplify right side
   102,256x = 24,639,109,992.25
5. Step 5: Solve for x
   x = 24,639,109,992.25/102,256
6. Step 6: Final answer
   x = 240,955.15