Finding the Third Proportional to 49,862.25 and 77,294.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,862.25 : 77,294.25 = 77,294.25 : x
2. Step 2: Convert to fraction form
   49,862.25/77,294.25 = 77,294.25/x
3. Step 3: Cross multiply
   49,862.25x = 77,294.25 × 77,294.25
4. Step 4: Simplify right side
   49,862.25x = 5,974,401,083.06
5. Step 5: Solve for x
   x = 5,974,401,083.06/49,862.25
6. Step 6: Final answer
   x = 119,818.12