Finding the Third Proportional to 53,346 and 116,292

Step by Step Solution

1. Step 1: Write the proportion equation
   53,346 : 116,292 = 116,292 : x
2. Step 2: Convert to fraction form
   53,346/116,292 = 116,292/x
3. Step 3: Cross multiply
   53,346x = 116,292 × 116,292
4. Step 4: Simplify right side
   53,346x = 13,523,829,264
5. Step 5: Solve for x
   x = 13,523,829,264/53,346
6. Step 6: Final answer
   x = 253,511.59