Finding the Third Proportional to 277,119 and 405,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,119 : 405,808.50 = 405,808.50 : x
2. Step 2: Convert to fraction form
   277,119/405,808.50 = 405,808.50/x
3. Step 3: Cross multiply
   277,119x = 405,808.50 × 405,808.50
4. Step 4: Simplify right side
   277,119x = 164,680,538,672.25
5. Step 5: Solve for x
   x = 164,680,538,672.25/277,119
6. Step 6: Final answer
   x = 594,259.28