Finding the Third Proportional to 116,688 and 181,032

Step by Step Solution

1. Step 1: Write the proportion equation
   116,688 : 181,032 = 181,032 : x
2. Step 2: Convert to fraction form
   116,688/181,032 = 181,032/x
3. Step 3: Cross multiply
   116,688x = 181,032 × 181,032
4. Step 4: Simplify right side
   116,688x = 32,772,585,024
5. Step 5: Solve for x
   x = 32,772,585,024/116,688
6. Step 6: Final answer
   x = 280,856.52