Finding the Third Proportional to 82,983 and 119,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,983 : 119,290.50 = 119,290.50 : x
2. Step 2: Convert to fraction form
   82,983/119,290.50 = 119,290.50/x
3. Step 3: Cross multiply
   82,983x = 119,290.50 × 119,290.50
4. Step 4: Simplify right side
   82,983x = 14,230,223,390.25
5. Step 5: Solve for x
   x = 14,230,223,390.25/82,983
6. Step 6: Final answer
   x = 171,483.60