Finding the Third Proportional to 100,262 and 208,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,262 : 208,816.50 = 208,816.50 : x
2. Step 2: Convert to fraction form
   100,262/208,816.50 = 208,816.50/x
3. Step 3: Cross multiply
   100,262x = 208,816.50 × 208,816.50
4. Step 4: Simplify right side
   100,262x = 43,604,330,672.25
5. Step 5: Solve for x
   x = 43,604,330,672.25/100,262
6. Step 6: Final answer
   x = 434,903.86