Finding the Third Proportional to 73,632 and 116,778

Step by Step Solution

1. Step 1: Write the proportion equation
   73,632 : 116,778 = 116,778 : x
2. Step 2: Convert to fraction form
   73,632/116,778 = 116,778/x
3. Step 3: Cross multiply
   73,632x = 116,778 × 116,778
4. Step 4: Simplify right side
   73,632x = 13,637,101,284
5. Step 5: Solve for x
   x = 13,637,101,284/73,632
6. Step 6: Final answer
   x = 185,206.18