Finding the Third Proportional to 69,714 and 107,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,714 : 107,719.50 = 107,719.50 : x
2. Step 2: Convert to fraction form
   69,714/107,719.50 = 107,719.50/x
3. Step 3: Cross multiply
   69,714x = 107,719.50 × 107,719.50
4. Step 4: Simplify right side
   69,714x = 11,603,490,680.25
5. Step 5: Solve for x
   x = 11,603,490,680.25/69,714
6. Step 6: Final answer
   x = 166,444.20