Finding the Third Proportional to 122,910 and 185,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,910 : 185,491.50 = 185,491.50 : x
2. Step 2: Convert to fraction form
   122,910/185,491.50 = 185,491.50/x
3. Step 3: Cross multiply
   122,910x = 185,491.50 × 185,491.50
4. Step 4: Simplify right side
   122,910x = 34,407,096,572.25
5. Step 5: Solve for x
   x = 34,407,096,572.25/122,910
6. Step 6: Final answer
   x = 279,937.32