Finding the Third Proportional to 53,154 and 116,190

Step by Step Solution

1. Step 1: Write the proportion equation
   53,154 : 116,190 = 116,190 : x
2. Step 2: Convert to fraction form
   53,154/116,190 = 116,190/x
3. Step 3: Cross multiply
   53,154x = 116,190 × 116,190
4. Step 4: Simplify right side
   53,154x = 13,500,116,100
5. Step 5: Solve for x
   x = 13,500,116,100/53,154
6. Step 6: Final answer
   x = 253,981.19