Finding the Third Proportional to 109,738 and 149,047

Step by Step Solution

1. Step 1: Write the proportion equation
   109,738 : 149,047 = 149,047 : x
2. Step 2: Convert to fraction form
   109,738/149,047 = 149,047/x
3. Step 3: Cross multiply
   109,738x = 149,047 × 149,047
4. Step 4: Simplify right side
   109,738x = 22,215,008,209
5. Step 5: Solve for x
   x = 22,215,008,209/109,738
6. Step 6: Final answer
   x = 202,436.79