Finding the Third Proportional to 109,075.50 and 160,021.88

Step by Step Solution

1. Step 1: Write the proportion equation
   109,075.50 : 160,021.88 = 160,021.88 : x
2. Step 2: Convert to fraction form
   109,075.50/160,021.88 = 160,021.88/x
3. Step 3: Cross multiply
   109,075.50x = 160,021.88 × 160,021.88
4. Step 4: Simplify right side
   109,075.50x = 25,607,000,478.52
5. Step 5: Solve for x
   x = 25,607,000,478.52/109,075.50
6. Step 6: Final answer
   x = 234,764.00