Finding the Third Proportional to 185,950.50 and 381,702

Step by Step Solution

1. Step 1: Write the proportion equation
   185,950.50 : 381,702 = 381,702 : x
2. Step 2: Convert to fraction form
   185,950.50/381,702 = 381,702/x
3. Step 3: Cross multiply
   185,950.50x = 381,702 × 381,702
4. Step 4: Simplify right side
   185,950.50x = 145,696,416,804
5. Step 5: Solve for x
   x = 145,696,416,804/185,950.50
6. Step 6: Final answer
   x = 783,522.59