Finding the Third Proportional to 131,184 and 202,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,184 : 202,573.50 = 202,573.50 : x
2. Step 2: Convert to fraction form
   131,184/202,573.50 = 202,573.50/x
3. Step 3: Cross multiply
   131,184x = 202,573.50 × 202,573.50
4. Step 4: Simplify right side
   131,184x = 41,036,022,902.25
5. Step 5: Solve for x
   x = 41,036,022,902.25/131,184
6. Step 6: Final answer
   x = 312,812.71