Finding the Third Proportional to 193,627.50 and 278,877

Step by Step Solution

1. Step 1: Write the proportion equation
   193,627.50 : 278,877 = 278,877 : x
2. Step 2: Convert to fraction form
   193,627.50/278,877 = 278,877/x
3. Step 3: Cross multiply
   193,627.50x = 278,877 × 278,877
4. Step 4: Simplify right side
   193,627.50x = 77,772,381,129
5. Step 5: Solve for x
   x = 77,772,381,129/193,627.50
6. Step 6: Final answer
   x = 401,659.79