Finding the Third Proportional to 109,386 and 150,714

Step by Step Solution

1. Step 1: Write the proportion equation
   109,386 : 150,714 = 150,714 : x
2. Step 2: Convert to fraction form
   109,386/150,714 = 150,714/x
3. Step 3: Cross multiply
   109,386x = 150,714 × 150,714
4. Step 4: Simplify right side
   109,386x = 22,714,709,796
5. Step 5: Solve for x
   x = 22,714,709,796/109,386
6. Step 6: Final answer
   x = 207,656.46