Finding the Third Proportional to 96,294 and 231,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,294 : 231,964.50 = 231,964.50 : x
2. Step 2: Convert to fraction form
   96,294/231,964.50 = 231,964.50/x
3. Step 3: Cross multiply
   96,294x = 231,964.50 × 231,964.50
4. Step 4: Simplify right side
   96,294x = 53,807,529,260.25
5. Step 5: Solve for x
   x = 53,807,529,260.25/96,294
6. Step 6: Final answer
   x = 558,783.82