Finding the Third Proportional to 81,822 and 178,428

Step by Step Solution

1. Step 1: Write the proportion equation
   81,822 : 178,428 = 178,428 : x
2. Step 2: Convert to fraction form
   81,822/178,428 = 178,428/x
3. Step 3: Cross multiply
   81,822x = 178,428 × 178,428
4. Step 4: Simplify right side
   81,822x = 31,836,551,184
5. Step 5: Solve for x
   x = 31,836,551,184/81,822
6. Step 6: Final answer
   x = 389,095.25