Finding the Third Proportional to 123,234 and 187,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,234 : 187,159.50 = 187,159.50 : x
2. Step 2: Convert to fraction form
   123,234/187,159.50 = 187,159.50/x
3. Step 3: Cross multiply
   123,234x = 187,159.50 × 187,159.50
4. Step 4: Simplify right side
   123,234x = 35,028,678,440.25
5. Step 5: Solve for x
   x = 35,028,678,440.25/123,234
6. Step 6: Final answer
   x = 284,245.24