Finding the Third Proportional to 142,321 and 206,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,321 : 206,137.50 = 206,137.50 : x
2. Step 2: Convert to fraction form
   142,321/206,137.50 = 206,137.50/x
3. Step 3: Cross multiply
   142,321x = 206,137.50 × 206,137.50
4. Step 4: Simplify right side
   142,321x = 42,492,668,906.25
5. Step 5: Solve for x
   x = 42,492,668,906.25/142,321
6. Step 6: Final answer
   x = 298,569.21