Finding the Third Proportional to 109,138 and 164,113

Step by Step Solution

1. Step 1: Write the proportion equation
   109,138 : 164,113 = 164,113 : x
2. Step 2: Convert to fraction form
   109,138/164,113 = 164,113/x
3. Step 3: Cross multiply
   109,138x = 164,113 × 164,113
4. Step 4: Simplify right side
   109,138x = 26,933,076,769
5. Step 5: Solve for x
   x = 26,933,076,769/109,138
6. Step 6: Final answer
   x = 246,780.01