Finding the Third Proportional to 102,508.50 and 216,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,508.50 : 216,154.50 = 216,154.50 : x
2. Step 2: Convert to fraction form
   102,508.50/216,154.50 = 216,154.50/x
3. Step 3: Cross multiply
   102,508.50x = 216,154.50 × 216,154.50
4. Step 4: Simplify right side
   102,508.50x = 46,722,767,870.25
5. Step 5: Solve for x
   x = 46,722,767,870.25/102,508.50
6. Step 6: Final answer
   x = 455,794.08