Finding the Third Proportional to 70,065 and 107,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,065 : 107,689.50 = 107,689.50 : x
2. Step 2: Convert to fraction form
   70,065/107,689.50 = 107,689.50/x
3. Step 3: Cross multiply
   70,065x = 107,689.50 × 107,689.50
4. Step 4: Simplify right side
   70,065x = 11,597,028,410.25
5. Step 5: Solve for x
   x = 11,597,028,410.25/70,065
6. Step 6: Final answer
   x = 165,518.14