Finding the Third Proportional to 155,822 and 341,128

Step by Step Solution

1. Step 1: Write the proportion equation
   155,822 : 341,128 = 341,128 : x
2. Step 2: Convert to fraction form
   155,822/341,128 = 341,128/x
3. Step 3: Cross multiply
   155,822x = 341,128 × 341,128
4. Step 4: Simplify right side
   155,822x = 116,368,312,384
5. Step 5: Solve for x
   x = 116,368,312,384/155,822
6. Step 6: Final answer
   x = 746,802.84