Finding the Third Proportional to 83,100 and 182,820

Step by Step Solution

1. Step 1: Write the proportion equation
   83,100 : 182,820 = 182,820 : x
2. Step 2: Convert to fraction form
   83,100/182,820 = 182,820/x
3. Step 3: Cross multiply
   83,100x = 182,820 × 182,820
4. Step 4: Simplify right side
   83,100x = 33,423,152,400
5. Step 5: Solve for x
   x = 33,423,152,400/83,100
6. Step 6: Final answer
   x = 402,204