Finding the Third Proportional to 184,347 and 278,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,347 : 278,212.50 = 278,212.50 : x
2. Step 2: Convert to fraction form
   184,347/278,212.50 = 278,212.50/x
3. Step 3: Cross multiply
   184,347x = 278,212.50 × 278,212.50
4. Step 4: Simplify right side
   184,347x = 77,402,195,156.25
5. Step 5: Solve for x
   x = 77,402,195,156.25/184,347
6. Step 6: Final answer
   x = 419,872.28