Finding the Third Proportional to 109,808 and 160,522

Step by Step Solution

1. Step 1: Write the proportion equation
   109,808 : 160,522 = 160,522 : x
2. Step 2: Convert to fraction form
   109,808/160,522 = 160,522/x
3. Step 3: Cross multiply
   109,808x = 160,522 × 160,522
4. Step 4: Simplify right side
   109,808x = 25,767,312,484
5. Step 5: Solve for x
   x = 25,767,312,484/109,808
6. Step 6: Final answer
   x = 234,657.88