Finding the Third Proportional to 113,670 and 181,585

Step by Step Solution

1. Step 1: Write the proportion equation
   113,670 : 181,585 = 181,585 : x
2. Step 2: Convert to fraction form
   113,670/181,585 = 181,585/x
3. Step 3: Cross multiply
   113,670x = 181,585 × 181,585
4. Step 4: Simplify right side
   113,670x = 32,973,112,225
5. Step 5: Solve for x
   x = 32,973,112,225/113,670
6. Step 6: Final answer
   x = 290,077.52