Finding the Third Proportional to 109,818 and 160,596

Step by Step Solution

1. Step 1: Write the proportion equation
   109,818 : 160,596 = 160,596 : x
2. Step 2: Convert to fraction form
   109,818/160,596 = 160,596/x
3. Step 3: Cross multiply
   109,818x = 160,596 × 160,596
4. Step 4: Simplify right side
   109,818x = 25,791,075,216
5. Step 5: Solve for x
   x = 25,791,075,216/109,818
6. Step 6: Final answer
   x = 234,852.89