Finding the Third Proportional to 88,948 and 212,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,948 : 212,609.50 = 212,609.50 : x
2. Step 2: Convert to fraction form
   88,948/212,609.50 = 212,609.50/x
3. Step 3: Cross multiply
   88,948x = 212,609.50 × 212,609.50
4. Step 4: Simplify right side
   88,948x = 45,202,799,490.25
5. Step 5: Solve for x
   x = 45,202,799,490.25/88,948
6. Step 6: Final answer
   x = 508,193.55