Finding the Third Proportional to 109,570 and 164,354

Step by Step Solution

1. Step 1: Write the proportion equation
   109,570 : 164,354 = 164,354 : x
2. Step 2: Convert to fraction form
   109,570/164,354 = 164,354/x
3. Step 3: Cross multiply
   109,570x = 164,354 × 164,354
4. Step 4: Simplify right side
   109,570x = 27,012,237,316
5. Step 5: Solve for x
   x = 27,012,237,316/109,570
6. Step 6: Final answer
   x = 246,529.50