Finding the Third Proportional to 202,184 and 308,172

Step by Step Solution

1. Step 1: Write the proportion equation
   202,184 : 308,172 = 308,172 : x
2. Step 2: Convert to fraction form
   202,184/308,172 = 308,172/x
3. Step 3: Cross multiply
   202,184x = 308,172 × 308,172
4. Step 4: Simplify right side
   202,184x = 94,969,981,584
5. Step 5: Solve for x
   x = 94,969,981,584/202,184
6. Step 6: Final answer
   x = 469,720.56