Finding the Third Proportional to 75,375 and 163,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,375 : 163,870.50 = 163,870.50 : x
2. Step 2: Convert to fraction form
   75,375/163,870.50 = 163,870.50/x
3. Step 3: Cross multiply
   75,375x = 163,870.50 × 163,870.50
4. Step 4: Simplify right side
   75,375x = 26,853,540,770.25
5. Step 5: Solve for x
   x = 26,853,540,770.25/75,375
6. Step 6: Final answer
   x = 356,265.88