Finding the Third Proportional to 82,107 and 120,235.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,107 : 120,235.50 = 120,235.50 : x
2. Step 2: Convert to fraction form
   82,107/120,235.50 = 120,235.50/x
3. Step 3: Cross multiply
   82,107x = 120,235.50 × 120,235.50
4. Step 4: Simplify right side
   82,107x = 14,456,575,460.25
5. Step 5: Solve for x
   x = 14,456,575,460.25/82,107
6. Step 6: Final answer
   x = 176,069.95