Finding the Third Proportional to 96,802 and 152,123

Step by Step Solution

1. Step 1: Write the proportion equation
   96,802 : 152,123 = 152,123 : x
2. Step 2: Convert to fraction form
   96,802/152,123 = 152,123/x
3. Step 3: Cross multiply
   96,802x = 152,123 × 152,123
4. Step 4: Simplify right side
   96,802x = 23,141,407,129
5. Step 5: Solve for x
   x = 23,141,407,129/96,802
6. Step 6: Final answer
   x = 239,059.18