Finding the Third Proportional to 82,304 and 120,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,304 : 120,319.50 = 120,319.50 : x
2. Step 2: Convert to fraction form
   82,304/120,319.50 = 120,319.50/x
3. Step 3: Cross multiply
   82,304x = 120,319.50 × 120,319.50
4. Step 4: Simplify right side
   82,304x = 14,476,782,080.25
5. Step 5: Solve for x
   x = 14,476,782,080.25/82,304
6. Step 6: Final answer
   x = 175,894.03