Finding the Third Proportional to 109,598 and 169,014

Step by Step Solution

1. Step 1: Write the proportion equation
   109,598 : 169,014 = 169,014 : x
2. Step 2: Convert to fraction form
   109,598/169,014 = 169,014/x
3. Step 3: Cross multiply
   109,598x = 169,014 × 169,014
4. Step 4: Simplify right side
   109,598x = 28,565,732,196
5. Step 5: Solve for x
   x = 28,565,732,196/109,598
6. Step 6: Final answer
   x = 260,641.00