Finding the Third Proportional to 61,224 and 131,784

Step by Step Solution

1. Step 1: Write the proportion equation
   61,224 : 131,784 = 131,784 : x
2. Step 2: Convert to fraction form
   61,224/131,784 = 131,784/x
3. Step 3: Cross multiply
   61,224x = 131,784 × 131,784
4. Step 4: Simplify right side
   61,224x = 17,367,022,656
5. Step 5: Solve for x
   x = 17,367,022,656/61,224
6. Step 6: Final answer
   x = 283,663.64