Finding the Third Proportional to 49,097 and 76,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,097 : 76,804.50 = 76,804.50 : x
2. Step 2: Convert to fraction form
   49,097/76,804.50 = 76,804.50/x
3. Step 3: Cross multiply
   49,097x = 76,804.50 × 76,804.50
4. Step 4: Simplify right side
   49,097x = 5,898,931,220.25
5. Step 5: Solve for x
   x = 5,898,931,220.25/49,097
6. Step 6: Final answer
   x = 120,148.51