Finding the Third Proportional to 83,322 and 119,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,322 : 119,065.50 = 119,065.50 : x
2. Step 2: Convert to fraction form
   83,322/119,065.50 = 119,065.50/x
3. Step 3: Cross multiply
   83,322x = 119,065.50 × 119,065.50
4. Step 4: Simplify right side
   83,322x = 14,176,593,290.25
5. Step 5: Solve for x
   x = 14,176,593,290.25/83,322
6. Step 6: Final answer
   x = 170,142.26