Finding the Third Proportional to 83,290 and 183,166

Step by Step Solution

1. Step 1: Write the proportion equation
   83,290 : 183,166 = 183,166 : x
2. Step 2: Convert to fraction form
   83,290/183,166 = 183,166/x
3. Step 3: Cross multiply
   83,290x = 183,166 × 183,166
4. Step 4: Simplify right side
   83,290x = 33,549,783,556
5. Step 5: Solve for x
   x = 33,549,783,556/83,290
6. Step 6: Final answer
   x = 402,806.86