Finding the Third Proportional to 100,046 and 152,610

Step by Step Solution

1. Step 1: Write the proportion equation
   100,046 : 152,610 = 152,610 : x
2. Step 2: Convert to fraction form
   100,046/152,610 = 152,610/x
3. Step 3: Cross multiply
   100,046x = 152,610 × 152,610
4. Step 4: Simplify right side
   100,046x = 23,289,812,100
5. Step 5: Solve for x
   x = 23,289,812,100/100,046
6. Step 6: Final answer
   x = 232,791.04