Finding the Third Proportional to 100,043 and 152,606

Step by Step Solution

1. Step 1: Write the proportion equation
   100,043 : 152,606 = 152,606 : x
2. Step 2: Convert to fraction form
   100,043/152,606 = 152,606/x
3. Step 3: Cross multiply
   100,043x = 152,606 × 152,606
4. Step 4: Simplify right side
   100,043x = 23,288,591,236
5. Step 5: Solve for x
   x = 23,288,591,236/100,043
6. Step 6: Final answer
   x = 232,785.81