Finding the Third Proportional to 72,578 and 109,962

Step by Step Solution

1. Step 1: Write the proportion equation
   72,578 : 109,962 = 109,962 : x
2. Step 2: Convert to fraction form
   72,578/109,962 = 109,962/x
3. Step 3: Cross multiply
   72,578x = 109,962 × 109,962
4. Step 4: Simplify right side
   72,578x = 12,091,641,444
5. Step 5: Solve for x
   x = 12,091,641,444/72,578
6. Step 6: Final answer
   x = 166,602.02