Finding the Third Proportional to 96,500.50 and 212,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,500.50 : 212,633.50 = 212,633.50 : x
2. Step 2: Convert to fraction form
   96,500.50/212,633.50 = 212,633.50/x
3. Step 3: Cross multiply
   96,500.50x = 212,633.50 × 212,633.50
4. Step 4: Simplify right side
   96,500.50x = 45,213,005,322.25
5. Step 5: Solve for x
   x = 45,213,005,322.25/96,500.50
6. Step 6: Final answer
   x = 468,526.12