Finding the Third Proportional to 100,602 and 213,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,602 : 213,196.50 = 213,196.50 : x
2. Step 2: Convert to fraction form
   100,602/213,196.50 = 213,196.50/x
3. Step 3: Cross multiply
   100,602x = 213,196.50 × 213,196.50
4. Step 4: Simplify right side
   100,602x = 45,452,747,612.25
5. Step 5: Solve for x
   x = 45,452,747,612.25/100,602
6. Step 6: Final answer
   x = 451,807.59