Finding the Third Proportional to 53,098 and 116,392

Step by Step Solution

1. Step 1: Write the proportion equation
   53,098 : 116,392 = 116,392 : x
2. Step 2: Convert to fraction form
   53,098/116,392 = 116,392/x
3. Step 3: Cross multiply
   53,098x = 116,392 × 116,392
4. Step 4: Simplify right side
   53,098x = 13,547,097,664
5. Step 5: Solve for x
   x = 13,547,097,664/53,098
6. Step 6: Final answer
   x = 255,133.86