Finding the Third Proportional to 184,461 and 282,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,461 : 282,044.50 = 282,044.50 : x
2. Step 2: Convert to fraction form
   184,461/282,044.50 = 282,044.50/x
3. Step 3: Cross multiply
   184,461x = 282,044.50 × 282,044.50
4. Step 4: Simplify right side
   184,461x = 79,549,099,980.25
5. Step 5: Solve for x
   x = 79,549,099,980.25/184,461
6. Step 6: Final answer
   x = 431,251.59