Finding the Third Proportional to 58,822 and 128,012

Step by Step Solution

1. Step 1: Write the proportion equation
   58,822 : 128,012 = 128,012 : x
2. Step 2: Convert to fraction form
   58,822/128,012 = 128,012/x
3. Step 3: Cross multiply
   58,822x = 128,012 × 128,012
4. Step 4: Simplify right side
   58,822x = 16,387,072,144
5. Step 5: Solve for x
   x = 16,387,072,144/58,822
6. Step 6: Final answer
   x = 278,587.47