Finding the Third Proportional to 81,572 and 184,426

Step by Step Solution

1. Step 1: Write the proportion equation
   81,572 : 184,426 = 184,426 : x
2. Step 2: Convert to fraction form
   81,572/184,426 = 184,426/x
3. Step 3: Cross multiply
   81,572x = 184,426 × 184,426
4. Step 4: Simplify right side
   81,572x = 34,012,949,476
5. Step 5: Solve for x
   x = 34,012,949,476/81,572
6. Step 6: Final answer
   x = 416,968.44