Finding the Third Proportional to 76,482 and 165,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,482 : 165,675.50 = 165,675.50 : x
2. Step 2: Convert to fraction form
   76,482/165,675.50 = 165,675.50/x
3. Step 3: Cross multiply
   76,482x = 165,675.50 × 165,675.50
4. Step 4: Simplify right side
   76,482x = 27,448,371,300.25
5. Step 5: Solve for x
   x = 27,448,371,300.25/76,482
6. Step 6: Final answer
   x = 358,886.68