Finding the Third Proportional to 72,580 and 109,963

Step by Step Solution

1. Step 1: Write the proportion equation
   72,580 : 109,963 = 109,963 : x
2. Step 2: Convert to fraction form
   72,580/109,963 = 109,963/x
3. Step 3: Cross multiply
   72,580x = 109,963 × 109,963
4. Step 4: Simplify right side
   72,580x = 12,091,861,369
5. Step 5: Solve for x
   x = 12,091,861,369/72,580
6. Step 6: Final answer
   x = 166,600.46