Finding the Third Proportional to 100,899 and 158,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,899 : 158,299.50 = 158,299.50 : x
2. Step 2: Convert to fraction form
   100,899/158,299.50 = 158,299.50/x
3. Step 3: Cross multiply
   100,899x = 158,299.50 × 158,299.50
4. Step 4: Simplify right side
   100,899x = 25,058,731,700.25
5. Step 5: Solve for x
   x = 25,058,731,700.25/100,899
6. Step 6: Final answer
   x = 248,354.61