Finding the Third Proportional to 277,416 and 362,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,416 : 362,713.50 = 362,713.50 : x
2. Step 2: Convert to fraction form
   277,416/362,713.50 = 362,713.50/x
3. Step 3: Cross multiply
   277,416x = 362,713.50 × 362,713.50
4. Step 4: Simplify right side
   277,416x = 131,561,083,082.25
5. Step 5: Solve for x
   x = 131,561,083,082.25/277,416
6. Step 6: Final answer
   x = 474,237.55