Finding the Third Proportional to 277,407 and 417,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,407 : 417,703.50 = 417,703.50 : x
2. Step 2: Convert to fraction form
   277,407/417,703.50 = 417,703.50/x
3. Step 3: Cross multiply
   277,407x = 417,703.50 × 417,703.50
4. Step 4: Simplify right side
   277,407x = 174,476,213,912.25
5. Step 5: Solve for x
   x = 174,476,213,912.25/277,407
6. Step 6: Final answer
   x = 628,953.90