Finding the Third Proportional to 101,059.50 and 214,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,059.50 : 214,441.50 = 214,441.50 : x
2. Step 2: Convert to fraction form
   101,059.50/214,441.50 = 214,441.50/x
3. Step 3: Cross multiply
   101,059.50x = 214,441.50 × 214,441.50
4. Step 4: Simplify right side
   101,059.50x = 45,985,156,922.25
5. Step 5: Solve for x
   x = 45,985,156,922.25/101,059.50
6. Step 6: Final answer
   x = 455,030.52