Finding the Third Proportional to 83,988 and 184,572

Step by Step Solution

1. Step 1: Write the proportion equation
   83,988 : 184,572 = 184,572 : x
2. Step 2: Convert to fraction form
   83,988/184,572 = 184,572/x
3. Step 3: Cross multiply
   83,988x = 184,572 × 184,572
4. Step 4: Simplify right side
   83,988x = 34,066,823,184
5. Step 5: Solve for x
   x = 34,066,823,184/83,988
6. Step 6: Final answer
   x = 405,615.36