Finding the Third Proportional to 109,123.50 and 164,658

Step by Step Solution

1. Step 1: Write the proportion equation
   109,123.50 : 164,658 = 164,658 : x
2. Step 2: Convert to fraction form
   109,123.50/164,658 = 164,658/x
3. Step 3: Cross multiply
   109,123.50x = 164,658 × 164,658
4. Step 4: Simplify right side
   109,123.50x = 27,112,256,964
5. Step 5: Solve for x
   x = 27,112,256,964/109,123.50
6. Step 6: Final answer
   x = 248,454.80