Finding the Third Proportional to 230,826 and 347,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   230,826 : 347,758.50 = 347,758.50 : x
2. Step 2: Convert to fraction form
   230,826/347,758.50 = 347,758.50/x
3. Step 3: Cross multiply
   230,826x = 347,758.50 × 347,758.50
4. Step 4: Simplify right side
   230,826x = 120,935,974,322.25
5. Step 5: Solve for x
   x = 120,935,974,322.25/230,826
6. Step 6: Final answer
   x = 523,927.00