Finding the Third Proportional to 234,333 and 363,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,333 : 363,406.50 = 363,406.50 : x
2. Step 2: Convert to fraction form
   234,333/363,406.50 = 363,406.50/x
3. Step 3: Cross multiply
   234,333x = 363,406.50 × 363,406.50
4. Step 4: Simplify right side
   234,333x = 132,064,284,242.25
5. Step 5: Solve for x
   x = 132,064,284,242.25/234,333
6. Step 6: Final answer
   x = 563,575.27