Finding the Third Proportional to 73,636 and 116,784

Step by Step Solution

1. Step 1: Write the proportion equation
   73,636 : 116,784 = 116,784 : x
2. Step 2: Convert to fraction form
   73,636/116,784 = 116,784/x
3. Step 3: Cross multiply
   73,636x = 116,784 × 116,784
4. Step 4: Simplify right side
   73,636x = 13,638,502,656
5. Step 5: Solve for x
   x = 13,638,502,656/73,636
6. Step 6: Final answer
   x = 185,215.15