Finding the Third Proportional to 100,355.50 and 147,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,355.50 : 147,760.50 = 147,760.50 : x
2. Step 2: Convert to fraction form
   100,355.50/147,760.50 = 147,760.50/x
3. Step 3: Cross multiply
   100,355.50x = 147,760.50 × 147,760.50
4. Step 4: Simplify right side
   100,355.50x = 21,833,165,360.25
5. Step 5: Solve for x
   x = 21,833,165,360.25/100,355.50
6. Step 6: Final answer
   x = 217,558.23