Finding the Third Proportional to 277,123.50 and 405,813

Step by Step Solution

1. Step 1: Write the proportion equation
   277,123.50 : 405,813 = 405,813 : x
2. Step 2: Convert to fraction form
   277,123.50/405,813 = 405,813/x
3. Step 3: Cross multiply
   277,123.50x = 405,813 × 405,813
4. Step 4: Simplify right side
   277,123.50x = 164,684,190,969
5. Step 5: Solve for x
   x = 164,684,190,969/277,123.50
6. Step 6: Final answer
   x = 594,262.81