Finding the Third Proportional to 75,123 and 152,320

Step by Step Solution

1. Step 1: Write the proportion equation
   75,123 : 152,320 = 152,320 : x
2. Step 2: Convert to fraction form
   75,123/152,320 = 152,320/x
3. Step 3: Cross multiply
   75,123x = 152,320 × 152,320
4. Step 4: Simplify right side
   75,123x = 23,201,382,400
5. Step 5: Solve for x
   x = 23,201,382,400/75,123
6. Step 6: Final answer
   x = 308,845.26