Finding the Third Proportional to 109,749 and 149,061

Step by Step Solution

1. Step 1: Write the proportion equation
   109,749 : 149,061 = 149,061 : x
2. Step 2: Convert to fraction form
   109,749/149,061 = 149,061/x
3. Step 3: Cross multiply
   109,749x = 149,061 × 149,061
4. Step 4: Simplify right side
   109,749x = 22,219,181,721
5. Step 5: Solve for x
   x = 22,219,181,721/109,749
6. Step 6: Final answer
   x = 202,454.53