Finding the Third Proportional to 49,066.50 and 77,822.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,066.50 : 77,822.25 = 77,822.25 : x
2. Step 2: Convert to fraction form
   49,066.50/77,822.25 = 77,822.25/x
3. Step 3: Cross multiply
   49,066.50x = 77,822.25 × 77,822.25
4. Step 4: Simplify right side
   49,066.50x = 6,056,302,595.06
5. Step 5: Solve for x
   x = 6,056,302,595.06/49,066.50
6. Step 6: Final answer
   x = 123,430.50