Finding the Third Proportional to 83,522 and 175,792

Step by Step Solution

1. Step 1: Write the proportion equation
   83,522 : 175,792 = 175,792 : x
2. Step 2: Convert to fraction form
   83,522/175,792 = 175,792/x
3. Step 3: Cross multiply
   83,522x = 175,792 × 175,792
4. Step 4: Simplify right side
   83,522x = 30,902,827,264
5. Step 5: Solve for x
   x = 30,902,827,264/83,522
6. Step 6: Final answer
   x = 369,996.26