Finding the Third Proportional to 152,154 and 222,597

Step by Step Solution

1. Step 1: Write the proportion equation
   152,154 : 222,597 = 222,597 : x
2. Step 2: Convert to fraction form
   152,154/222,597 = 222,597/x
3. Step 3: Cross multiply
   152,154x = 222,597 × 222,597
4. Step 4: Simplify right side
   152,154x = 49,549,424,409
5. Step 5: Solve for x
   x = 49,549,424,409/152,154
6. Step 6: Final answer
   x = 325,653.12