Finding the Third Proportional to 109,076 and 160,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,076 : 160,023.50 = 160,023.50 : x
2. Step 2: Convert to fraction form
   109,076/160,023.50 = 160,023.50/x
3. Step 3: Cross multiply
   109,076x = 160,023.50 × 160,023.50
4. Step 4: Simplify right side
   109,076x = 25,607,520,552.25
5. Step 5: Solve for x
   x = 25,607,520,552.25/109,076
6. Step 6: Final answer
   x = 234,767.69