Finding the Third Proportional to 278,131.50 and 386,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,131.50 : 386,941.50 = 386,941.50 : x
2. Step 2: Convert to fraction form
   278,131.50/386,941.50 = 386,941.50/x
3. Step 3: Cross multiply
   278,131.50x = 386,941.50 × 386,941.50
4. Step 4: Simplify right side
   278,131.50x = 149,723,724,422.25
5. Step 5: Solve for x
   x = 149,723,724,422.25/278,131.50
6. Step 6: Final answer
   x = 538,319.91