Finding the Third Proportional to 109,140.50 and 164,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,140.50 : 164,116.50 = 164,116.50 : x
2. Step 2: Convert to fraction form
   109,140.50/164,116.50 = 164,116.50/x
3. Step 3: Cross multiply
   109,140.50x = 164,116.50 × 164,116.50
4. Step 4: Simplify right side
   109,140.50x = 26,934,225,572.25
5. Step 5: Solve for x
   x = 26,934,225,572.25/109,140.50
6. Step 6: Final answer
   x = 246,784.88