Finding the Third Proportional to 49,081.50 and 77,844.09

Step by Step Solution

1. Step 1: Write the proportion equation
   49,081.50 : 77,844.09 = 77,844.09 : x
2. Step 2: Convert to fraction form
   49,081.50/77,844.09 = 77,844.09/x
3. Step 3: Cross multiply
   49,081.50x = 77,844.09 × 77,844.09
4. Step 4: Simplify right side
   49,081.50x = 6,059,702,931.76
5. Step 5: Solve for x
   x = 6,059,702,931.76/49,081.50
6. Step 6: Final answer
   x = 123,462.06