Finding the Third Proportional to 106,272 and 162,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,272 : 162,823.50 = 162,823.50 : x
2. Step 2: Convert to fraction form
   106,272/162,823.50 = 162,823.50/x
3. Step 3: Cross multiply
   106,272x = 162,823.50 × 162,823.50
4. Step 4: Simplify right side
   106,272x = 26,511,492,152.25
5. Step 5: Solve for x
   x = 26,511,492,152.25/106,272
6. Step 6: Final answer
   x = 249,468.27