Finding the Third Proportional to 56,332 and 123,680

Step by Step Solution

1. Step 1: Write the proportion equation
   56,332 : 123,680 = 123,680 : x
2. Step 2: Convert to fraction form
   56,332/123,680 = 123,680/x
3. Step 3: Cross multiply
   56,332x = 123,680 × 123,680
4. Step 4: Simplify right side
   56,332x = 15,296,742,400
5. Step 5: Solve for x
   x = 15,296,742,400/56,332
6. Step 6: Final answer
   x = 271,546.23