Finding the Third Proportional to 102,248 and 209,453

Step by Step Solution

1. Step 1: Write the proportion equation
   102,248 : 209,453 = 209,453 : x
2. Step 2: Convert to fraction form
   102,248/209,453 = 209,453/x
3. Step 3: Cross multiply
   102,248x = 209,453 × 209,453
4. Step 4: Simplify right side
   102,248x = 43,870,559,209
5. Step 5: Solve for x
   x = 43,870,559,209/102,248
6. Step 6: Final answer
   x = 429,060.32