Finding the Third Proportional to 238,212 and 510,972

Step by Step Solution

1. Step 1: Write the proportion equation
   238,212 : 510,972 = 510,972 : x
2. Step 2: Convert to fraction form
   238,212/510,972 = 510,972/x
3. Step 3: Cross multiply
   238,212x = 510,972 × 510,972
4. Step 4: Simplify right side
   238,212x = 261,092,384,784
5. Step 5: Solve for x
   x = 261,092,384,784/238,212
6. Step 6: Final answer
   x = 1,096,050.51