Finding the Third Proportional to 123,768 and 193,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,768 : 193,045.50 = 193,045.50 : x
2. Step 2: Convert to fraction form
   123,768/193,045.50 = 193,045.50/x
3. Step 3: Cross multiply
   123,768x = 193,045.50 × 193,045.50
4. Step 4: Simplify right side
   123,768x = 37,266,565,070.25
5. Step 5: Solve for x
   x = 37,266,565,070.25/123,768
6. Step 6: Final answer
   x = 301,100.16