Finding the Third Proportional to 131,506 and 186,078

Step by Step Solution

1. Step 1: Write the proportion equation
   131,506 : 186,078 = 186,078 : x
2. Step 2: Convert to fraction form
   131,506/186,078 = 186,078/x
3. Step 3: Cross multiply
   131,506x = 186,078 × 186,078
4. Step 4: Simplify right side
   131,506x = 34,625,022,084
5. Step 5: Solve for x
   x = 34,625,022,084/131,506
6. Step 6: Final answer
   x = 263,296.14