Finding the Third Proportional to 142,748 and 222,297

Step by Step Solution

1. Step 1: Write the proportion equation
   142,748 : 222,297 = 222,297 : x
2. Step 2: Convert to fraction form
   142,748/222,297 = 222,297/x
3. Step 3: Cross multiply
   142,748x = 222,297 × 222,297
4. Step 4: Simplify right side
   142,748x = 49,415,956,209
5. Step 5: Solve for x
   x = 49,415,956,209/142,748
6. Step 6: Final answer
   x = 346,176.17