Finding the Third Proportional to 78,348 and 116,010

Step by Step Solution

1. Step 1: Write the proportion equation
   78,348 : 116,010 = 116,010 : x
2. Step 2: Convert to fraction form
   78,348/116,010 = 116,010/x
3. Step 3: Cross multiply
   78,348x = 116,010 × 116,010
4. Step 4: Simplify right side
   78,348x = 13,458,320,100
5. Step 5: Solve for x
   x = 13,458,320,100/78,348
6. Step 6: Final answer
   x = 171,776.18