Finding the Third Proportional to 122,814 and 189,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,814 : 189,649.50 = 189,649.50 : x
2. Step 2: Convert to fraction form
   122,814/189,649.50 = 189,649.50/x
3. Step 3: Cross multiply
   122,814x = 189,649.50 × 189,649.50
4. Step 4: Simplify right side
   122,814x = 35,966,932,850.25
5. Step 5: Solve for x
   x = 35,966,932,850.25/122,814
6. Step 6: Final answer
   x = 292,856.95