Finding the Third Proportional to 233,136 and 342,024.75

Step by Step Solution

1. Step 1: Write the proportion equation
   233,136 : 342,024.75 = 342,024.75 : x
2. Step 2: Convert to fraction form
   233,136/342,024.75 = 342,024.75/x
3. Step 3: Cross multiply
   233,136x = 342,024.75 × 342,024.75
4. Step 4: Simplify right side
   233,136x = 116,980,929,612.56
5. Step 5: Solve for x
   x = 116,980,929,612.56/233,136
6. Step 6: Final answer
   x = 501,771.20