Finding the Third Proportional to 109,014 and 147,969

Step by Step Solution

1. Step 1: Write the proportion equation
   109,014 : 147,969 = 147,969 : x
2. Step 2: Convert to fraction form
   109,014/147,969 = 147,969/x
3. Step 3: Cross multiply
   109,014x = 147,969 × 147,969
4. Step 4: Simplify right side
   109,014x = 21,894,824,961
5. Step 5: Solve for x
   x = 21,894,824,961/109,014
6. Step 6: Final answer
   x = 200,844.16