Finding the Third Proportional to 83,525 and 182,124

Step by Step Solution

1. Step 1: Write the proportion equation
   83,525 : 182,124 = 182,124 : x
2. Step 2: Convert to fraction form
   83,525/182,124 = 182,124/x
3. Step 3: Cross multiply
   83,525x = 182,124 × 182,124
4. Step 4: Simplify right side
   83,525x = 33,169,151,376
5. Step 5: Solve for x
   x = 33,169,151,376/83,525
6. Step 6: Final answer
   x = 397,116.45