Finding the Third Proportional to 54,808 and 82,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,808 : 82,212.50 = 82,212.50 : x
2. Step 2: Convert to fraction form
   54,808/82,212.50 = 82,212.50/x
3. Step 3: Cross multiply
   54,808x = 82,212.50 × 82,212.50
4. Step 4: Simplify right side
   54,808x = 6,758,895,156.25
5. Step 5: Solve for x
   x = 6,758,895,156.25/54,808
6. Step 6: Final answer
   x = 123,319.50