Finding the Third Proportional to 83,154 and 178,972

Step by Step Solution

1. Step 1: Write the proportion equation
   83,154 : 178,972 = 178,972 : x
2. Step 2: Convert to fraction form
   83,154/178,972 = 178,972/x
3. Step 3: Cross multiply
   83,154x = 178,972 × 178,972
4. Step 4: Simplify right side
   83,154x = 32,030,976,784
5. Step 5: Solve for x
   x = 32,030,976,784/83,154
6. Step 6: Final answer
   x = 385,200.67