Finding the Third Proportional to 83,154 and 158,646

Step by Step Solution

1. Step 1: Write the proportion equation
   83,154 : 158,646 = 158,646 : x
2. Step 2: Convert to fraction form
   83,154/158,646 = 158,646/x
3. Step 3: Cross multiply
   83,154x = 158,646 × 158,646
4. Step 4: Simplify right side
   83,154x = 25,168,553,316
5. Step 5: Solve for x
   x = 25,168,553,316/83,154
6. Step 6: Final answer
   x = 302,673.99