Finding the Third Proportional to 77,774.06 and 123,665.63

Step by Step Solution

1. Step 1: Write the proportion equation
   77,774.06 : 123,665.63 = 123,665.63 : x
2. Step 2: Convert to fraction form
   77,774.06/123,665.63 = 123,665.63/x
3. Step 3: Cross multiply
   77,774.06x = 123,665.63 × 123,665.63
4. Step 4: Simplify right side
   77,774.06x = 15,293,186,806.64
5. Step 5: Solve for x
   x = 15,293,186,806.64/77,774.06
6. Step 6: Final answer
   x = 196,636.08