Finding the Third Proportional to 189,099 and 279,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,099 : 279,910.50 = 279,910.50 : x
2. Step 2: Convert to fraction form
   189,099/279,910.50 = 279,910.50/x
3. Step 3: Cross multiply
   189,099x = 279,910.50 × 279,910.50
4. Step 4: Simplify right side
   189,099x = 78,349,888,010.25
5. Step 5: Solve for x
   x = 78,349,888,010.25/189,099
6. Step 6: Final answer
   x = 414,332.64