Finding the Third Proportional to 49,326 and 77,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,326 : 77,294.50 = 77,294.50 : x
2. Step 2: Convert to fraction form
   49,326/77,294.50 = 77,294.50/x
3. Step 3: Cross multiply
   49,326x = 77,294.50 × 77,294.50
4. Step 4: Simplify right side
   49,326x = 5,974,439,730.25
5. Step 5: Solve for x
   x = 5,974,439,730.25/49,326
6. Step 6: Final answer
   x = 121,121.51