Finding the Third Proportional to 100,882 and 152,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,882 : 152,078.50 = 152,078.50 : x
2. Step 2: Convert to fraction form
   100,882/152,078.50 = 152,078.50/x
3. Step 3: Cross multiply
   100,882x = 152,078.50 × 152,078.50
4. Step 4: Simplify right side
   100,882x = 23,127,870,162.25
5. Step 5: Solve for x
   x = 23,127,870,162.25/100,882
6. Step 6: Final answer
   x = 229,256.66