Finding the Third Proportional to 56,784 and 123,510.75

Step by Step Solution

1. Step 1: Write the proportion equation
   56,784 : 123,510.75 = 123,510.75 : x
2. Step 2: Convert to fraction form
   56,784/123,510.75 = 123,510.75/x
3. Step 3: Cross multiply
   56,784x = 123,510.75 × 123,510.75
4. Step 4: Simplify right side
   56,784x = 15,254,905,365.56
5. Step 5: Solve for x
   x = 15,254,905,365.56/56,784
6. Step 6: Final answer
   x = 268,647.95