Finding the Third Proportional to 109,084 and 160,034

Step by Step Solution

1. Step 1: Write the proportion equation
   109,084 : 160,034 = 160,034 : x
2. Step 2: Convert to fraction form
   109,084/160,034 = 160,034/x
3. Step 3: Cross multiply
   109,084x = 160,034 × 160,034
4. Step 4: Simplify right side
   109,084x = 25,610,881,156
5. Step 5: Solve for x
   x = 25,610,881,156/109,084
6. Step 6: Final answer
   x = 234,781.28