Finding the Third Proportional to 49,808 and 76,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,808 : 76,225.50 = 76,225.50 : x
2. Step 2: Convert to fraction form
   49,808/76,225.50 = 76,225.50/x
3. Step 3: Cross multiply
   49,808x = 76,225.50 × 76,225.50
4. Step 4: Simplify right side
   49,808x = 5,810,326,850.25
5. Step 5: Solve for x
   x = 5,810,326,850.25/49,808
6. Step 6: Final answer
   x = 116,654.49