Finding the Third Proportional to 34,319 and 75,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,319 : 75,198.50 = 75,198.50 : x
2. Step 2: Convert to fraction form
   34,319/75,198.50 = 75,198.50/x
3. Step 3: Cross multiply
   34,319x = 75,198.50 × 75,198.50
4. Step 4: Simplify right side
   34,319x = 5,654,814,402.25
5. Step 5: Solve for x
   x = 5,654,814,402.25/34,319
6. Step 6: Final answer
   x = 164,772.12