Finding the Third Proportional to 142,297 and 190,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,297 : 190,414.50 = 190,414.50 : x
2. Step 2: Convert to fraction form
   142,297/190,414.50 = 190,414.50/x
3. Step 3: Cross multiply
   142,297x = 190,414.50 × 190,414.50
4. Step 4: Simplify right side
   142,297x = 36,257,681,810.25
5. Step 5: Solve for x
   x = 36,257,681,810.25/142,297
6. Step 6: Final answer
   x = 254,802.85