Finding the Third Proportional to 185,755.50 and 407,109

Step by Step Solution

1. Step 1: Write the proportion equation
   185,755.50 : 407,109 = 407,109 : x
2. Step 2: Convert to fraction form
   185,755.50/407,109 = 407,109/x
3. Step 3: Cross multiply
   185,755.50x = 407,109 × 407,109
4. Step 4: Simplify right side
   185,755.50x = 165,737,737,881
5. Step 5: Solve for x
   x = 165,737,737,881/185,755.50
6. Step 6: Final answer
   x = 892,235.97