Finding the Third Proportional to 109,470 and 169,038

Step by Step Solution

1. Step 1: Write the proportion equation
   109,470 : 169,038 = 169,038 : x
2. Step 2: Convert to fraction form
   109,470/169,038 = 169,038/x
3. Step 3: Cross multiply
   109,470x = 169,038 × 169,038
4. Step 4: Simplify right side
   109,470x = 28,573,845,444
5. Step 5: Solve for x
   x = 28,573,845,444/109,470
6. Step 6: Final answer
   x = 261,019.87