Finding the Third Proportional to 116,730 and 181,095

Step by Step Solution

1. Step 1: Write the proportion equation
   116,730 : 181,095 = 181,095 : x
2. Step 2: Convert to fraction form
   116,730/181,095 = 181,095/x
3. Step 3: Cross multiply
   116,730x = 181,095 × 181,095
4. Step 4: Simplify right side
   116,730x = 32,795,399,025
5. Step 5: Solve for x
   x = 32,795,399,025/116,730
6. Step 6: Final answer
   x = 280,950.90