Finding the Third Proportional to 122,406 and 191,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,406 : 191,503.50 = 191,503.50 : x
2. Step 2: Convert to fraction form
   122,406/191,503.50 = 191,503.50/x
3. Step 3: Cross multiply
   122,406x = 191,503.50 × 191,503.50
4. Step 4: Simplify right side
   122,406x = 36,673,590,512.25
5. Step 5: Solve for x
   x = 36,673,590,512.25/122,406
6. Step 6: Final answer
   x = 299,606.15