Finding the Third Proportional to 116,484 and 273,822

Step by Step Solution

1. Step 1: Write the proportion equation
   116,484 : 273,822 = 273,822 : x
2. Step 2: Convert to fraction form
   116,484/273,822 = 273,822/x
3. Step 3: Cross multiply
   116,484x = 273,822 × 273,822
4. Step 4: Simplify right side
   116,484x = 74,978,487,684
5. Step 5: Solve for x
   x = 74,978,487,684/116,484
6. Step 6: Final answer
   x = 643,680.57