Finding the Third Proportional to 96,499.50 and 212,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,499.50 : 212,631.50 = 212,631.50 : x
2. Step 2: Convert to fraction form
   96,499.50/212,631.50 = 212,631.50/x
3. Step 3: Cross multiply
   96,499.50x = 212,631.50 × 212,631.50
4. Step 4: Simplify right side
   96,499.50x = 45,212,154,792.25
5. Step 5: Solve for x
   x = 45,212,154,792.25/96,499.50
6. Step 6: Final answer
   x = 468,522.17