Finding the Third Proportional to 109,216 and 164,594

Step by Step Solution

1. Step 1: Write the proportion equation
   109,216 : 164,594 = 164,594 : x
2. Step 2: Convert to fraction form
   109,216/164,594 = 164,594/x
3. Step 3: Cross multiply
   109,216x = 164,594 × 164,594
4. Step 4: Simplify right side
   109,216x = 27,091,184,836
5. Step 5: Solve for x
   x = 27,091,184,836/109,216
6. Step 6: Final answer
   x = 248,051.43