Finding the Third Proportional to 75,573 and 158,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,573 : 158,899.50 = 158,899.50 : x
2. Step 2: Convert to fraction form
   75,573/158,899.50 = 158,899.50/x
3. Step 3: Cross multiply
   75,573x = 158,899.50 × 158,899.50
4. Step 4: Simplify right side
   75,573x = 25,249,051,100.25
5. Step 5: Solve for x
   x = 25,249,051,100.25/75,573
6. Step 6: Final answer
   x = 334,101.48