Finding the Third Proportional to 61,224 and 133,680

Step by Step Solution

1. Step 1: Write the proportion equation
   61,224 : 133,680 = 133,680 : x
2. Step 2: Convert to fraction form
   61,224/133,680 = 133,680/x
3. Step 3: Cross multiply
   61,224x = 133,680 × 133,680
4. Step 4: Simplify right side
   61,224x = 17,870,342,400
5. Step 5: Solve for x
   x = 17,870,342,400/61,224
6. Step 6: Final answer
   x = 291,884.59