Finding the Third Proportional to 233,700 and 350,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,700 : 350,152.50 = 350,152.50 : x
2. Step 2: Convert to fraction form
   233,700/350,152.50 = 350,152.50/x
3. Step 3: Cross multiply
   233,700x = 350,152.50 × 350,152.50
4. Step 4: Simplify right side
   233,700x = 122,606,773,256.25
5. Step 5: Solve for x
   x = 122,606,773,256.25/233,700
6. Step 6: Final answer
   x = 524,633.18