Finding the Third Proportional to 73,334 and 116,566

Step by Step Solution

1. Step 1: Write the proportion equation
   73,334 : 116,566 = 116,566 : x
2. Step 2: Convert to fraction form
   73,334/116,566 = 116,566/x
3. Step 3: Cross multiply
   73,334x = 116,566 × 116,566
4. Step 4: Simplify right side
   73,334x = 13,587,632,356
5. Step 5: Solve for x
   x = 13,587,632,356/73,334
6. Step 6: Final answer
   x = 185,284.21