Finding the Third Proportional to 233,320.50 and 345,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,320.50 : 345,055.50 = 345,055.50 : x
2. Step 2: Convert to fraction form
   233,320.50/345,055.50 = 345,055.50/x
3. Step 3: Cross multiply
   233,320.50x = 345,055.50 × 345,055.50
4. Step 4: Simplify right side
   233,320.50x = 119,063,298,080.25
5. Step 5: Solve for x
   x = 119,063,298,080.25/233,320.50
6. Step 6: Final answer
   x = 510,299.34