Finding the Third Proportional to 100,769.06 and 152,287.59

Step by Step Solution

1. Step 1: Write the proportion equation
   100,769.06 : 152,287.59 = 152,287.59 : x
2. Step 2: Convert to fraction form
   100,769.06/152,287.59 = 152,287.59/x
3. Step 3: Cross multiply
   100,769.06x = 152,287.59 × 152,287.59
4. Step 4: Simplify right side
   100,769.06x = 23,191,511,210.17
5. Step 5: Solve for x
   x = 23,191,511,210.17/100,769.06
6. Step 6: Final answer
   x = 230,145.15