Finding the Third Proportional to 49,066 and 77,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,066 : 77,821.50 = 77,821.50 : x
2. Step 2: Convert to fraction form
   49,066/77,821.50 = 77,821.50/x
3. Step 3: Cross multiply
   49,066x = 77,821.50 × 77,821.50
4. Step 4: Simplify right side
   49,066x = 6,056,185,862.25
5. Step 5: Solve for x
   x = 6,056,185,862.25/49,066
6. Step 6: Final answer
   x = 123,429.38