Finding the Third Proportional to 109,089 and 160,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,089 : 160,045.50 = 160,045.50 : x
2. Step 2: Convert to fraction form
   109,089/160,045.50 = 160,045.50/x
3. Step 3: Cross multiply
   109,089x = 160,045.50 × 160,045.50
4. Step 4: Simplify right side
   109,089x = 25,614,562,070.25
5. Step 5: Solve for x
   x = 25,614,562,070.25/109,089
6. Step 6: Final answer
   x = 234,804.26