Finding the Third Proportional to 278,677 and 427,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,677 : 427,009.50 = 427,009.50 : x
2. Step 2: Convert to fraction form
   278,677/427,009.50 = 427,009.50/x
3. Step 3: Cross multiply
   278,677x = 427,009.50 × 427,009.50
4. Step 4: Simplify right side
   278,677x = 182,337,113,090.25
5. Step 5: Solve for x
   x = 182,337,113,090.25/278,677
6. Step 6: Final answer
   x = 654,295.52