Finding the Third Proportional to 184,477.50 and 278,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,477.50 : 278,410.50 = 278,410.50 : x
2. Step 2: Convert to fraction form
   184,477.50/278,410.50 = 278,410.50/x
3. Step 3: Cross multiply
   184,477.50x = 278,410.50 × 278,410.50
4. Step 4: Simplify right side
   184,477.50x = 77,512,406,510.25
5. Step 5: Solve for x
   x = 77,512,406,510.25/184,477.50
6. Step 6: Final answer
   x = 420,172.69