Finding the Third Proportional to 142,297 and 206,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,297 : 206,097.50 = 206,097.50 : x
2. Step 2: Convert to fraction form
   142,297/206,097.50 = 206,097.50/x
3. Step 3: Cross multiply
   142,297x = 206,097.50 × 206,097.50
4. Step 4: Simplify right side
   142,297x = 42,476,179,506.25
5. Step 5: Solve for x
   x = 42,476,179,506.25/142,297
6. Step 6: Final answer
   x = 298,503.69