Finding the Third Proportional to 103,827 and 162,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,827 : 162,688.50 = 162,688.50 : x
2. Step 2: Convert to fraction form
   103,827/162,688.50 = 162,688.50/x
3. Step 3: Cross multiply
   103,827x = 162,688.50 × 162,688.50
4. Step 4: Simplify right side
   103,827x = 26,467,548,032.25
5. Step 5: Solve for x
   x = 26,467,548,032.25/103,827
6. Step 6: Final answer
   x = 254,919.70