Finding the Third Proportional to 100,530 and 209,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,530 : 209,326.50 = 209,326.50 : x
2. Step 2: Convert to fraction form
   100,530/209,326.50 = 209,326.50/x
3. Step 3: Cross multiply
   100,530x = 209,326.50 × 209,326.50
4. Step 4: Simplify right side
   100,530x = 43,817,583,602.25
5. Step 5: Solve for x
   x = 43,817,583,602.25/100,530
6. Step 6: Final answer
   x = 435,865.75