Finding the Third Proportional to 138,129.50 and 194,969

Step by Step Solution

1. Step 1: Write the proportion equation
   138,129.50 : 194,969 = 194,969 : x
2. Step 2: Convert to fraction form
   138,129.50/194,969 = 194,969/x
3. Step 3: Cross multiply
   138,129.50x = 194,969 × 194,969
4. Step 4: Simplify right side
   138,129.50x = 38,012,910,961
5. Step 5: Solve for x
   x = 38,012,910,961/138,129.50
6. Step 6: Final answer
   x = 275,197.63