Finding the Third Proportional to 69,116 and 145,196

Step by Step Solution

1. Step 1: Write the proportion equation
   69,116 : 145,196 = 145,196 : x
2. Step 2: Convert to fraction form
   69,116/145,196 = 145,196/x
3. Step 3: Cross multiply
   69,116x = 145,196 × 145,196
4. Step 4: Simplify right side
   69,116x = 21,081,878,416
5. Step 5: Solve for x
   x = 21,081,878,416/69,116
6. Step 6: Final answer
   x = 305,021.68