Finding the Third Proportional to 75,195 and 152,460

Step by Step Solution

1. Step 1: Write the proportion equation
   75,195 : 152,460 = 152,460 : x
2. Step 2: Convert to fraction form
   75,195/152,460 = 152,460/x
3. Step 3: Cross multiply
   75,195x = 152,460 × 152,460
4. Step 4: Simplify right side
   75,195x = 23,244,051,600
5. Step 5: Solve for x
   x = 23,244,051,600/75,195
6. Step 6: Final answer
   x = 309,116.98