Finding the Third Proportional to 53,470 and 116,047

Step by Step Solution

1. Step 1: Write the proportion equation
   53,470 : 116,047 = 116,047 : x
2. Step 2: Convert to fraction form
   53,470/116,047 = 116,047/x
3. Step 3: Cross multiply
   53,470x = 116,047 × 116,047
4. Step 4: Simplify right side
   53,470x = 13,466,906,209
5. Step 5: Solve for x
   x = 13,466,906,209/53,470
6. Step 6: Final answer
   x = 251,859.10