Finding the Third Proportional to 100,662 and 219,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,662 : 219,037.50 = 219,037.50 : x
2. Step 2: Convert to fraction form
   100,662/219,037.50 = 219,037.50/x
3. Step 3: Cross multiply
   100,662x = 219,037.50 × 219,037.50
4. Step 4: Simplify right side
   100,662x = 47,977,426,406.25
5. Step 5: Solve for x
   x = 47,977,426,406.25/100,662
6. Step 6: Final answer
   x = 476,619.05