Finding the Third Proportional to 82,146 and 183,003

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146 : 183,003 = 183,003 : x
2. Step 2: Convert to fraction form
   82,146/183,003 = 183,003/x
3. Step 3: Cross multiply
   82,146x = 183,003 × 183,003
4. Step 4: Simplify right side
   82,146x = 33,490,098,009
5. Step 5: Solve for x
   x = 33,490,098,009/82,146
6. Step 6: Final answer
   x = 407,689.94