Finding the Third Proportional to 123,770.06 and 185,928.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123,770.06 : 185,928.56 = 185,928.56 : x
2. Step 2: Convert to fraction form
   123,770.06/185,928.56 = 185,928.56/x
3. Step 3: Cross multiply
   123,770.06x = 185,928.56 × 185,928.56
4. Step 4: Simplify right side
   123,770.06x = 34,569,430,353.32
5. Step 5: Solve for x
   x = 34,569,430,353.32/123,770.06
6. Step 6: Final answer
   x = 279,303.65