Finding the Third Proportional to 61,316 and 131,380

Step by Step Solution

1. Step 1: Write the proportion equation
   61,316 : 131,380 = 131,380 : x
2. Step 2: Convert to fraction form
   61,316/131,380 = 131,380/x
3. Step 3: Cross multiply
   61,316x = 131,380 × 131,380
4. Step 4: Simplify right side
   61,316x = 17,260,704,400
5. Step 5: Solve for x
   x = 17,260,704,400/61,316
6. Step 6: Final answer
   x = 281,504.08