Finding the Third Proportional to 100,302 and 152,428

Step by Step Solution

1. Step 1: Write the proportion equation
   100,302 : 152,428 = 152,428 : x
2. Step 2: Convert to fraction form
   100,302/152,428 = 152,428/x
3. Step 3: Cross multiply
   100,302x = 152,428 × 152,428
4. Step 4: Simplify right side
   100,302x = 23,234,295,184
5. Step 5: Solve for x
   x = 23,234,295,184/100,302
6. Step 6: Final answer
   x = 231,643.39