Finding the Third Proportional to 73,513 and 109,980

Step by Step Solution

1. Step 1: Write the proportion equation
   73,513 : 109,980 = 109,980 : x
2. Step 2: Convert to fraction form
   73,513/109,980 = 109,980/x
3. Step 3: Cross multiply
   73,513x = 109,980 × 109,980
4. Step 4: Simplify right side
   73,513x = 12,095,600,400
5. Step 5: Solve for x
   x = 12,095,600,400/73,513
6. Step 6: Final answer
   x = 164,536.89