Finding the Third Proportional to 184,384 and 253,536

Step by Step Solution

1. Step 1: Write the proportion equation
   184,384 : 253,536 = 253,536 : x
2. Step 2: Convert to fraction form
   184,384/253,536 = 253,536/x
3. Step 3: Cross multiply
   184,384x = 253,536 × 253,536
4. Step 4: Simplify right side
   184,384x = 64,280,503,296
5. Step 5: Solve for x
   x = 64,280,503,296/184,384
6. Step 6: Final answer
   x = 348,623.00