Finding the Third Proportional to 102,316.50 and 209,553

Step by Step Solution

1. Step 1: Write the proportion equation
   102,316.50 : 209,553 = 209,553 : x
2. Step 2: Convert to fraction form
   102,316.50/209,553 = 209,553/x
3. Step 3: Cross multiply
   102,316.50x = 209,553 × 209,553
4. Step 4: Simplify right side
   102,316.50x = 43,912,459,809
5. Step 5: Solve for x
   x = 43,912,459,809/102,316.50
6. Step 6: Final answer
   x = 429,182.58