Finding the Third Proportional to 53,570 and 117,650

Step by Step Solution

1. Step 1: Write the proportion equation
   53,570 : 117,650 = 117,650 : x
2. Step 2: Convert to fraction form
   53,570/117,650 = 117,650/x
3. Step 3: Cross multiply
   53,570x = 117,650 × 117,650
4. Step 4: Simplify right side
   53,570x = 13,841,522,500
5. Step 5: Solve for x
   x = 13,841,522,500/53,570
6. Step 6: Final answer
   x = 258,381.98