Finding the Third Proportional to 96,306 and 233,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,306 : 233,038.50 = 233,038.50 : x
2. Step 2: Convert to fraction form
   96,306/233,038.50 = 233,038.50/x
3. Step 3: Cross multiply
   96,306x = 233,038.50 × 233,038.50
4. Step 4: Simplify right side
   96,306x = 54,306,942,482.25
5. Step 5: Solve for x
   x = 54,306,942,482.25/96,306
6. Step 6: Final answer
   x = 563,899.89