Finding the Third Proportional to 85,624.31 and 184,968.56

Step by Step Solution

1. Step 1: Write the proportion equation
   85,624.31 : 184,968.56 = 184,968.56 : x
2. Step 2: Convert to fraction form
   85,624.31/184,968.56 = 184,968.56/x
3. Step 3: Cross multiply
   85,624.31x = 184,968.56 × 184,968.56
4. Step 4: Simplify right side
   85,624.31x = 34,213,369,113.32
5. Step 5: Solve for x
   x = 34,213,369,113.32/85,624.31
6. Step 6: Final answer
   x = 399,575.40