Finding the Third Proportional to 83,292 and 178,488

Step by Step Solution

1. Step 1: Write the proportion equation
   83,292 : 178,488 = 178,488 : x
2. Step 2: Convert to fraction form
   83,292/178,488 = 178,488/x
3. Step 3: Cross multiply
   83,292x = 178,488 × 178,488
4. Step 4: Simplify right side
   83,292x = 31,857,966,144
5. Step 5: Solve for x
   x = 31,857,966,144/83,292
6. Step 6: Final answer
   x = 382,485.31