Finding the Third Proportional to 123,738 and 193,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,738 : 193,000.50 = 193,000.50 : x
2. Step 2: Convert to fraction form
   123,738/193,000.50 = 193,000.50/x
3. Step 3: Cross multiply
   123,738x = 193,000.50 × 193,000.50
4. Step 4: Simplify right side
   123,738x = 37,249,193,000.25
5. Step 5: Solve for x
   x = 37,249,193,000.25/123,738
6. Step 6: Final answer
   x = 301,032.77