Finding the Third Proportional to 109,006.50 and 147,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,006.50 : 147,955.50 = 147,955.50 : x
2. Step 2: Convert to fraction form
   109,006.50/147,955.50 = 147,955.50/x
3. Step 3: Cross multiply
   109,006.50x = 147,955.50 × 147,955.50
4. Step 4: Simplify right side
   109,006.50x = 21,890,829,980.25
5. Step 5: Solve for x
   x = 21,890,829,980.25/109,006.50
6. Step 6: Final answer
   x = 200,821.33