Finding the Third Proportional to 109,086 and 160,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,086 : 160,036.50 = 160,036.50 : x
2. Step 2: Convert to fraction form
   109,086/160,036.50 = 160,036.50/x
3. Step 3: Cross multiply
   109,086x = 160,036.50 × 160,036.50
4. Step 4: Simplify right side
   109,086x = 25,611,681,332.25
5. Step 5: Solve for x
   x = 25,611,681,332.25/109,086
6. Step 6: Final answer
   x = 234,784.31