Finding the Third Proportional to 52,820 and 114,784

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820 : 114,784 = 114,784 : x
2. Step 2: Convert to fraction form
   52,820/114,784 = 114,784/x
3. Step 3: Cross multiply
   52,820x = 114,784 × 114,784
4. Step 4: Simplify right side
   52,820x = 13,175,366,656
5. Step 5: Solve for x
   x = 13,175,366,656/52,820
6. Step 6: Final answer
   x = 249,438.97